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Finding the Fourth Proportional to 224,769.40, 337,542.90 and 146,231.80

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Solution

The fourth proportional to 224,769.40, 337,542.90 and 146,231.80 is: 219,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,769.40 : 337,542.90 = 146,231.80 : x
  2. Step 2: Convert to fraction form
    224,769.40/337,542.90 = 146,231.80/x
  3. Step 3: Cross multiply
    224,769.40x = 337,542.90 × 146,231.80
  4. Step 4: Simplify right side
    224,769.40x = 49,359,505,844.22
  5. Step 5: Solve for x
    x = 49,359,505,844.22/224,769.40
  6. Step 6: Final answer
    x = 219,600.65

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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.