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Finding the Fourth Proportional to 224,773.26, 337,048.35 and 82,612.80

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Solution

The fourth proportional to 224,773.26, 337,048.35 and 82,612.80 is: 123,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,773.26 : 337,048.35 = 82,612.80 : x
  2. Step 2: Convert to fraction form
    224,773.26/337,048.35 = 82,612.80/x
  3. Step 3: Cross multiply
    224,773.26x = 337,048.35 × 82,612.80
  4. Step 4: Simplify right side
    224,773.26x = 27,844,507,928.88
  5. Step 5: Solve for x
    x = 27,844,507,928.88/224,773.26
  6. Step 6: Final answer
    x = 123,878.20

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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.