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Finding the Fourth Proportional to 129,162.11, 178,238.13 and 71,801.30

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Solution

The fourth proportional to 129,162.11, 178,238.13 and 71,801.30 is: 99,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,162.11 : 178,238.13 = 71,801.30 : x
  2. Step 2: Convert to fraction form
    129,162.11/178,238.13 = 71,801.30/x
  3. Step 3: Cross multiply
    129,162.11x = 178,238.13 × 71,801.30
  4. Step 4: Simplify right side
    129,162.11x = 12,797,728,552.38
  5. Step 5: Solve for x
    x = 12,797,728,552.38/129,162.11
  6. Step 6: Final answer
    x = 99,082.69

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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.