If regional prices were exchange-rate conversions, every country would pay roughly the same in real terms. They do not, and the differences are far too large and too inconsistent to be a currency effect.
Purchasing power, not currency
Publishers set regional prices against what a market can bear. A price that is ordinary in the United States can represent a significant share of a week's income elsewhere, and a publisher that ignores this sells almost nothing in that market.
The alternative — one global price — does not raise revenue. It just means large parts of the world do not buy the game at all.
Why it is not consistent
There is no formula. Each publisher decides for each title, sometimes for each platform, and revises when a currency moves sharply. That is why two economically similar countries can differ by half, and why the cheapest region for one game is not the cheapest for another.
Tax is part of it
Some regions show tax-inclusive prices and some do not, which widens an apparent gap that is partly an accounting difference. When comparing, it is worth knowing whether you are looking at the same thing.
What it means for you
If you live in a lower-priced region, that discount is already applied — there is nothing to claim and nothing to do.
If you live in a higher-priced one, the honest options are patience and sales, not workarounds. Region-switching is against the subscriber agreement of every major storefront and the penalty is the account, not the game.