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Finding the Fourth Proportional to 131,000.38, 180,780.54 and 71,384.38

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Solution

The fourth proportional to 131,000.38, 180,780.54 and 71,384.38 is: 98,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,000.38 : 180,780.54 = 71,384.38 : x
  2. Step 2: Convert to fraction form
    131,000.38/180,780.54 = 71,384.38/x
  3. Step 3: Cross multiply
    131,000.38x = 180,780.54 × 71,384.38
  4. Step 4: Simplify right side
    131,000.38x = 12,904,906,763.97
  5. Step 5: Solve for x
    x = 12,904,906,763.97/131,000.38
  6. Step 6: Final answer
    x = 98,510.45

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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.