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Finding the Fourth Proportional to 224,781.26, 337,060.34 and 82,620.80

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Solution

The fourth proportional to 224,781.26, 337,060.34 and 82,620.80 is: 123,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,781.26 : 337,060.34 = 82,620.80 : x
  2. Step 2: Convert to fraction form
    224,781.26/337,060.34 = 82,620.80/x
  3. Step 3: Cross multiply
    224,781.26x = 337,060.34 × 82,620.80
  4. Step 4: Simplify right side
    224,781.26x = 27,848,194,939.07
  5. Step 5: Solve for x
    x = 27,848,194,939.07/224,781.26
  6. Step 6: Final answer
    x = 123,890.20

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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.