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Finding the Fourth Proportional to 224,942.40, 337,024.80 and 106,358.40

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Solution

The fourth proportional to 224,942.40, 337,024.80 and 106,358.40 is: 159,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,942.40 : 337,024.80 = 106,358.40 : x
  2. Step 2: Convert to fraction form
    224,942.40/337,024.80 = 106,358.40/x
  3. Step 3: Cross multiply
    224,942.40x = 337,024.80 × 106,358.40
  4. Step 4: Simplify right side
    224,942.40x = 35,845,418,488.32
  5. Step 5: Solve for x
    x = 35,845,418,488.32/224,942.40
  6. Step 6: Final answer
    x = 159,353.77

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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.