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Finding the Fourth Proportional to 224,829.40, 337,190.10 and 129,854.20

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Solution

The fourth proportional to 224,829.40, 337,190.10 and 129,854.20 is: 194,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,829.40 : 337,190.10 = 129,854.20 : x
  2. Step 2: Convert to fraction form
    224,829.40/337,190.10 = 129,854.20/x
  3. Step 3: Cross multiply
    224,829.40x = 337,190.10 × 129,854.20
  4. Step 4: Simplify right side
    224,829.40x = 43,785,550,683.42
  5. Step 5: Solve for x
    x = 43,785,550,683.42/224,829.40
  6. Step 6: Final answer
    x = 194,750.11

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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.