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Finding the Fourth Proportional to 102,451.60, 141,332.96 and 68,468.44

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Solution

The fourth proportional to 102,451.60, 141,332.96 and 68,468.44 is: 94,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,451.60 : 141,332.96 = 68,468.44 : x
  2. Step 2: Convert to fraction form
    102,451.60/141,332.96 = 68,468.44/x
  3. Step 3: Cross multiply
    102,451.60x = 141,332.96 × 68,468.44
  4. Step 4: Simplify right side
    102,451.60x = 9,676,847,291.78
  5. Step 5: Solve for x
    x = 9,676,847,291.78/102,451.60
  6. Step 6: Final answer
    x = 94,452.87

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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.