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Finding the Fourth Proportional to 218,732.80, 327,321.60 and 151,859.20

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Solution

The fourth proportional to 218,732.80, 327,321.60 and 151,859.20 is: 227,248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,732.80 : 327,321.60 = 151,859.20 : x
  2. Step 2: Convert to fraction form
    218,732.80/327,321.60 = 151,859.20/x
  3. Step 3: Cross multiply
    218,732.80x = 327,321.60 × 151,859.20
  4. Step 4: Simplify right side
    218,732.80x = 49,706,796,318.72
  5. Step 5: Solve for x
    x = 49,706,796,318.72/218,732.80
  6. Step 6: Final answer
    x = 227,248.94

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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.