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Finding the Fourth Proportional to 102,404.96, 141,321.84 and 59,959.52

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Solution

The fourth proportional to 102,404.96, 141,321.84 and 59,959.52 is: 82,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,404.96 : 141,321.84 = 59,959.52 : x
  2. Step 2: Convert to fraction form
    102,404.96/141,321.84 = 59,959.52/x
  3. Step 3: Cross multiply
    102,404.96x = 141,321.84 × 59,959.52
  4. Step 4: Simplify right side
    102,404.96x = 8,473,589,691.92
  5. Step 5: Solve for x
    x = 8,473,589,691.92/102,404.96
  6. Step 6: Final answer
    x = 82,745.89

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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.