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Finding the Fourth Proportional to 102,513.96, 141,462.24 and 59,494.70

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Solution

The fourth proportional to 102,513.96, 141,462.24 and 59,494.70 is: 82,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,513.96 : 141,462.24 = 59,494.70 : x
  2. Step 2: Convert to fraction form
    102,513.96/141,462.24 = 59,494.70/x
  3. Step 3: Cross multiply
    102,513.96x = 141,462.24 × 59,494.70
  4. Step 4: Simplify right side
    102,513.96x = 8,416,253,530.13
  5. Step 5: Solve for x
    x = 8,416,253,530.13/102,513.96
  6. Step 6: Final answer
    x = 82,098.61

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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.