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Finding the Fourth Proportional to 150,224.83, 225,349.53 and 50,385.85

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Solution

The fourth proportional to 150,224.83, 225,349.53 and 50,385.85 is: 75,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,224.83 : 225,349.53 = 50,385.85 : x
  2. Step 2: Convert to fraction form
    150,224.83/225,349.53 = 50,385.85/x
  3. Step 3: Cross multiply
    150,224.83x = 225,349.53 × 50,385.85
  4. Step 4: Simplify right side
    150,224.83x = 11,354,427,616.15
  5. Step 5: Solve for x
    x = 11,354,427,616.15/150,224.83
  6. Step 6: Final answer
    x = 75,582.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.