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Finding the Fourth Proportional to 203,757.20, 305,635.80 and 161,766.80

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Solution

The fourth proportional to 203,757.20, 305,635.80 and 161,766.80 is: 242,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,757.20 : 305,635.80 = 161,766.80 : x
  2. Step 2: Convert to fraction form
    203,757.20/305,635.80 = 161,766.80/x
  3. Step 3: Cross multiply
    203,757.20x = 305,635.80 × 161,766.80
  4. Step 4: Simplify right side
    203,757.20x = 49,441,725,331.44
  5. Step 5: Solve for x
    x = 49,441,725,331.44/203,757.20
  6. Step 6: Final answer
    x = 242,650.20

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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.