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Finding the Fourth Proportional to 224,872.60, 337,568.10 and 136,226.20

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Solution

The fourth proportional to 224,872.60, 337,568.10 and 136,226.20 is: 204,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,872.60 : 337,568.10 = 136,226.20 : x
  2. Step 2: Convert to fraction form
    224,872.60/337,568.10 = 136,226.20/x
  3. Step 3: Cross multiply
    224,872.60x = 337,568.10 × 136,226.20
  4. Step 4: Simplify right side
    224,872.60x = 45,985,619,504.22
  5. Step 5: Solve for x
    x = 45,985,619,504.22/224,872.60
  6. Step 6: Final answer
    x = 204,496.32

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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.