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Finding the Fourth Proportional to 218,732.44, 327,871.14 and 158,615.32

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Solution

The fourth proportional to 218,732.44, 327,871.14 and 158,615.32 is: 237,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,732.44 : 327,871.14 = 158,615.32 : x
  2. Step 2: Convert to fraction form
    218,732.44/327,871.14 = 158,615.32/x
  3. Step 3: Cross multiply
    218,732.44x = 327,871.14 × 158,615.32
  4. Step 4: Simplify right side
    218,732.44x = 52,005,385,789.86
  5. Step 5: Solve for x
    x = 52,005,385,789.86/218,732.44
  6. Step 6: Final answer
    x = 237,757.99

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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.