Isabella is looking to purchase an extremely fancy car without having to pay anything up front. On January $1$st$,$ Year $1,$ a dealer offers her a payment plan for a SportsCar Pro, which requests she pays $$5,452$ every six months, starting July $1$st$,$ Year $1,$ for the next $6$ years. At the end of the six years, Isabella will make the final payment in the payment plan, along with a lump$-$sum payment of $$117,729.$ Assuming an annual interest rate $10\%,$ how much money would Isabella need today to satisfy this given liability? Round your final answer to the nearest two decimal places.