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Finding the Fourth Proportional to 274,229.20, 411,375.80 and 87,259.60

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Solution

The fourth proportional to 274,229.20, 411,375.80 and 87,259.60 is: 130,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,229.20 : 411,375.80 = 87,259.60 : x
  2. Step 2: Convert to fraction form
    274,229.20/411,375.80 = 87,259.60/x
  3. Step 3: Cross multiply
    274,229.20x = 411,375.80 × 87,259.60
  4. Step 4: Simplify right side
    274,229.20x = 35,896,487,757.68
  5. Step 5: Solve for x
    x = 35,896,487,757.68/274,229.20
  6. Step 6: Final answer
    x = 130,899.58

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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.