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Finding the Fourth Proportional to 103,414.40, 142,727.32 and 63,151.50

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Solution

The fourth proportional to 103,414.40, 142,727.32 and 63,151.50 is: 87,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414.40 : 142,727.32 = 63,151.50 : x
  2. Step 2: Convert to fraction form
    103,414.40/142,727.32 = 63,151.50/x
  3. Step 3: Cross multiply
    103,414.40x = 142,727.32 × 63,151.50
  4. Step 4: Simplify right side
    103,414.40x = 9,013,444,348.98
  5. Step 5: Solve for x
    x = 9,013,444,348.98/103,414.40
  6. Step 6: Final answer
    x = 87,158.50

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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.