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Finding the Fourth Proportional to 218,220.40, 327,023.40 and 161,618.80

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Solution

The fourth proportional to 218,220.40, 327,023.40 and 161,618.80 is: 242,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,220.40 : 327,023.40 = 161,618.80 : x
  2. Step 2: Convert to fraction form
    218,220.40/327,023.40 = 161,618.80/x
  3. Step 3: Cross multiply
    218,220.40x = 327,023.40 × 161,618.80
  4. Step 4: Simplify right side
    218,220.40x = 52,853,129,479.92
  5. Step 5: Solve for x
    x = 52,853,129,479.92/218,220.40
  6. Step 6: Final answer
    x = 242,200.68

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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.