You invest $$100,000$ in a hedge fund with a $2/20$ fee structure. For the next $3$ years, the hedge fund earns annual returns of $24\mathrm{.}34\%,-12\mathrm{.}18\%,$ and $74\mathrm{.}1\%.$ You make no withdrawals from the fund. Whenever fees are due, you write a check for that amount to the fund $($such that the fund doesn't deduct the fees from your portfolio value$).$ The fund's fee structure has a high watermark feature. What are the total fees you pay over the course of the three years? Enter a number with two decimal points. Answer the question in dollar amount, i$.$e$.,$ if the answer is $$20,$ enter $20\mathrm{.}00.$