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Finding the Fourth Proportional to 224,717, 337,173.90 and 106,472.84

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Solution

The fourth proportional to 224,717, 337,173.90 and 106,472.84 is: 159,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,717 : 337,173.90 = 106,472.84 : x
  2. Step 2: Convert to fraction form
    224,717/337,173.90 = 106,472.84/x
  3. Step 3: Cross multiply
    224,717x = 337,173.90 × 106,472.84
  4. Step 4: Simplify right side
    224,717x = 35,899,862,706.88
  5. Step 5: Solve for x
    x = 35,899,862,706.88/224,717
  6. Step 6: Final answer
    x = 159,755.88

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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.