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Finding the Fourth Proportional to 123,964.38, 171,123.10 and 83,732.69

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Solution

The fourth proportional to 123,964.38, 171,123.10 and 83,732.69 is: 115,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,964.38 : 171,123.10 = 83,732.69 : x
  2. Step 2: Convert to fraction form
    123,964.38/171,123.10 = 83,732.69/x
  3. Step 3: Cross multiply
    123,964.38x = 171,123.10 × 83,732.69
  4. Step 4: Simplify right side
    123,964.38x = 14,328,597,702.62
  5. Step 5: Solve for x
    x = 14,328,597,702.62/123,964.38
  6. Step 6: Final answer
    x = 115,586.41

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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.