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Finding the Fourth Proportional to 412,850.20, 619,275.30 and 132,395.80

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Solution

The fourth proportional to 412,850.20, 619,275.30 and 132,395.80 is: 198,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,850.20 : 619,275.30 = 132,395.80 : x
  2. Step 2: Convert to fraction form
    412,850.20/619,275.30 = 132,395.80/x
  3. Step 3: Cross multiply
    412,850.20x = 619,275.30 × 132,395.80
  4. Step 4: Simplify right side
    412,850.20x = 81,989,448,763.74
  5. Step 5: Solve for x
    x = 81,989,448,763.74/412,850.20
  6. Step 6: Final answer
    x = 198,593.70

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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.