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Finding the Fourth Proportional to 171,864.38, 237,174.46 and 96,414.50

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Solution

The fourth proportional to 171,864.38, 237,174.46 and 96,414.50 is: 133,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,864.38 : 237,174.46 = 96,414.50 : x
  2. Step 2: Convert to fraction form
    171,864.38/237,174.46 = 96,414.50/x
  3. Step 3: Cross multiply
    171,864.38x = 237,174.46 × 96,414.50
  4. Step 4: Simplify right side
    171,864.38x = 22,867,055,546.76
  5. Step 5: Solve for x
    x = 22,867,055,546.76/171,864.38
  6. Step 6: Final answer
    x = 133,052.91

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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.