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Finding the Fourth Proportional to 210,761.68, 290,851.32 and 115,268.08

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Solution

The fourth proportional to 210,761.68, 290,851.32 and 115,268.08 is: 159,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,761.68 : 290,851.32 = 115,268.08 : x
  2. Step 2: Convert to fraction form
    210,761.68/290,851.32 = 115,268.08/x
  3. Step 3: Cross multiply
    210,761.68x = 290,851.32 × 115,268.08
  4. Step 4: Simplify right side
    210,761.68x = 33,525,873,221.87
  5. Step 5: Solve for x
    x = 33,525,873,221.87/210,761.68
  6. Step 6: Final answer
    x = 159,070.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.