$-$ You would like to give your son $$170,000$ towards his college education $22$ years from now. How much money must you set aside today for this purpose if you can earn $6\%$ on your investments?

A$.$ $$12,250\mathrm{.}00$ B$.$ $$74,157\mathrm{.}87$ C$.$ $$27,797\mathrm{.}96$ D$.$ $$47,175\mathrm{.}87$ E$.$ $$47,157\mathrm{.}87$