On January 1, 1997, an investment account is worth 100,000. On April 1, 1997, the value has increased to 103,000 and 8,000 is withdrawn. On January 1, 1999, the account is worth 103,992. Assuming a dollar weighted method is used to calculate the yield rate for 1997, and a time weighted method is used to calculate the yield rate for 1998, the two annual yield rates are the same. Calculate the balance of the account at the beginning of 1998.