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Finding the Fourth Proportional to 150,906.30, 226,359.45 and 133,847.70

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Solution

The fourth proportional to 150,906.30, 226,359.45 and 133,847.70 is: 200,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,906.30 : 226,359.45 = 133,847.70 : x
  2. Step 2: Convert to fraction form
    150,906.30/226,359.45 = 133,847.70/x
  3. Step 3: Cross multiply
    150,906.30x = 226,359.45 × 133,847.70
  4. Step 4: Simplify right side
    150,906.30x = 30,297,691,755.77
  5. Step 5: Solve for x
    x = 30,297,691,755.77/150,906.30
  6. Step 6: Final answer
    x = 200,771.55

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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.