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Finding the Fourth Proportional to 80,134.34, 120,239.31 and 35,757.14

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Solution

The fourth proportional to 80,134.34, 120,239.31 and 35,757.14 is: 53,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,134.34 : 120,239.31 = 35,757.14 : x
  2. Step 2: Convert to fraction form
    80,134.34/120,239.31 = 35,757.14/x
  3. Step 3: Cross multiply
    80,134.34x = 120,239.31 × 35,757.14
  4. Step 4: Simplify right side
    80,134.34x = 4,299,413,841.17
  5. Step 5: Solve for x
    x = 4,299,413,841.17/80,134.34
  6. Step 6: Final answer
    x = 53,652.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.