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Finding the Fourth Proportional to 224,771.38, 337,323.46 and 106,442.98

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Solution

The fourth proportional to 224,771.38, 337,323.46 and 106,442.98 is: 159,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,771.38 : 337,323.46 = 106,442.98 : x
  2. Step 2: Convert to fraction form
    224,771.38/337,323.46 = 106,442.98/x
  3. Step 3: Cross multiply
    224,771.38x = 337,323.46 × 106,442.98
  4. Step 4: Simplify right side
    224,771.38x = 35,905,714,306.31
  5. Step 5: Solve for x
    x = 35,905,714,306.31/224,771.38
  6. Step 6: Final answer
    x = 159,743.27

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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.