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Finding the Fourth Proportional to 131,884.40, 197,972.40 and 82,020.80

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Solution

The fourth proportional to 131,884.40, 197,972.40 and 82,020.80 is: 123,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,884.40 : 197,972.40 = 82,020.80 : x
  2. Step 2: Convert to fraction form
    131,884.40/197,972.40 = 82,020.80/x
  3. Step 3: Cross multiply
    131,884.40x = 197,972.40 × 82,020.80
  4. Step 4: Simplify right side
    131,884.40x = 16,237,854,625.92
  5. Step 5: Solve for x
    x = 16,237,854,625.92/131,884.40
  6. Step 6: Final answer
    x = 123,121.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.