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Finding the Fourth Proportional to 149,714.70, 224,658.45 and 56,229.90

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Solution

The fourth proportional to 149,714.70, 224,658.45 and 56,229.90 is: 84,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,714.70 : 224,658.45 = 56,229.90 : x
  2. Step 2: Convert to fraction form
    149,714.70/224,658.45 = 56,229.90/x
  3. Step 3: Cross multiply
    149,714.70x = 224,658.45 × 56,229.90
  4. Step 4: Simplify right side
    149,714.70x = 12,632,522,177.66
  5. Step 5: Solve for x
    x = 12,632,522,177.66/149,714.70
  6. Step 6: Final answer
    x = 84,377.30

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1.5x scale

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.