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Finding the Fourth Proportional to 102,344.52, 141,233.31 and 57,022.32

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Solution

The fourth proportional to 102,344.52, 141,233.31 and 57,022.32 is: 78,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,344.52 : 141,233.31 = 57,022.32 : x
  2. Step 2: Convert to fraction form
    102,344.52/141,233.31 = 57,022.32/x
  3. Step 3: Cross multiply
    102,344.52x = 141,233.31 × 57,022.32
  4. Step 4: Simplify right side
    102,344.52x = 8,053,450,997.48
  5. Step 5: Solve for x
    x = 8,053,450,997.48/102,344.52
  6. Step 6: Final answer
    x = 78,689.62

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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.