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Finding the Fourth Proportional to 224,746.31, 337,132.41 and 84,506.15

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Solution

The fourth proportional to 224,746.31, 337,132.41 and 84,506.15 is: 126,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,746.31 : 337,132.41 = 84,506.15 : x
  2. Step 2: Convert to fraction form
    224,746.31/337,132.41 = 84,506.15/x
  3. Step 3: Cross multiply
    224,746.31x = 337,132.41 × 84,506.15
  4. Step 4: Simplify right side
    224,746.31x = 28,489,760,323.66
  5. Step 5: Solve for x
    x = 28,489,760,323.66/224,746.31
  6. Step 6: Final answer
    x = 126,764.09

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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.