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Finding the Fourth Proportional to 102,135.68, 140,939.84 and 63,912.32

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Solution

The fourth proportional to 102,135.68, 140,939.84 and 63,912.32 is: 88,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,135.68 : 140,939.84 = 63,912.32 : x
  2. Step 2: Convert to fraction form
    102,135.68/140,939.84 = 63,912.32/x
  3. Step 3: Cross multiply
    102,135.68x = 140,939.84 × 63,912.32
  4. Step 4: Simplify right side
    102,135.68x = 9,007,792,154.83
  5. Step 5: Solve for x
    x = 9,007,792,154.83/102,135.68
  6. Step 6: Final answer
    x = 88,194.37

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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.