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Finding the Fourth Proportional to 132,358.38, 182,654.56 and 72,742.38

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Solution

The fourth proportional to 132,358.38, 182,654.56 and 72,742.38 is: 100,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,358.38 : 182,654.56 = 72,742.38 : x
  2. Step 2: Convert to fraction form
    132,358.38/182,654.56 = 72,742.38/x
  3. Step 3: Cross multiply
    132,358.38x = 182,654.56 × 72,742.38
  4. Step 4: Simplify right side
    132,358.38x = 13,286,727,412.25
  5. Step 5: Solve for x
    x = 13,286,727,412.25/132,358.38
  6. Step 6: Final answer
    x = 100,384.48

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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.