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Finding the Fourth Proportional to 132,380.96, 182,687.58 and 71,951.58

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Solution

The fourth proportional to 132,380.96, 182,687.58 and 71,951.58 is: 99,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,380.96 : 182,687.58 = 71,951.58 : x
  2. Step 2: Convert to fraction form
    132,380.96/182,687.58 = 71,951.58/x
  3. Step 3: Cross multiply
    132,380.96x = 182,687.58 × 71,951.58
  4. Step 4: Simplify right side
    132,380.96x = 13,144,660,027.38
  5. Step 5: Solve for x
    x = 13,144,660,027.38/132,380.96
  6. Step 6: Final answer
    x = 99,294.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.