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Finding the Fourth Proportional to 224,802.26, 337,336.37 and 82,747.29

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Solution

The fourth proportional to 224,802.26, 337,336.37 and 82,747.29 is: 124,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,802.26 : 337,336.37 = 82,747.29 : x
  2. Step 2: Convert to fraction form
    224,802.26/337,336.37 = 82,747.29/x
  3. Step 3: Cross multiply
    224,802.26x = 337,336.37 × 82,747.29
  4. Step 4: Simplify right side
    224,802.26x = 27,913,670,022.20
  5. Step 5: Solve for x
    x = 27,913,670,022.20/224,802.26
  6. Step 6: Final answer
    x = 124,169.88

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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.