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Finding the Fourth Proportional to 102,539.40, 141,294.42 and 75,639.30

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Solution

The fourth proportional to 102,539.40, 141,294.42 and 75,639.30 is: 104,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,539.40 : 141,294.42 = 75,639.30 : x
  2. Step 2: Convert to fraction form
    102,539.40/141,294.42 = 75,639.30/x
  3. Step 3: Cross multiply
    102,539.40x = 141,294.42 × 75,639.30
  4. Step 4: Simplify right side
    102,539.40x = 10,687,411,022.71
  5. Step 5: Solve for x
    x = 10,687,411,022.71/102,539.40
  6. Step 6: Final answer
    x = 104,227.36

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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.