On January 1, 1997, an investment account has a value of 100,000. On April 1, 1997, the value has increased to 103,000 and 8,000 are withdrawn. On January 1, 1999, the account has a value of 103,992. Assuming that a dollar-weighted method is used to calculate the 1997 rate of return and a time-weighted method is used to calculate the 1998 rate of return, the two annual rates of return are equal. 

Calculate the account balance at the beginning of 1998.