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Finding the Fourth Proportional to 381,500.20, 572,250.30 and 101,045.80

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Solution

The fourth proportional to 381,500.20, 572,250.30 and 101,045.80 is: 151,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,500.20 : 572,250.30 = 101,045.80 : x
  2. Step 2: Convert to fraction form
    381,500.20/572,250.30 = 101,045.80/x
  3. Step 3: Cross multiply
    381,500.20x = 572,250.30 × 101,045.80
  4. Step 4: Simplify right side
    381,500.20x = 57,823,489,363.74
  5. Step 5: Solve for x
    x = 57,823,489,363.74/381,500.20
  6. Step 6: Final answer
    x = 151,568.70

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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.