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Finding the Fourth Proportional to 361,853.46, 542,781.72 and 151,343.82

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Solution

The fourth proportional to 361,853.46, 542,781.72 and 151,343.82 is: 227,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,853.46 : 542,781.72 = 151,343.82 : x
  2. Step 2: Convert to fraction form
    361,853.46/542,781.72 = 151,343.82/x
  3. Step 3: Cross multiply
    361,853.46x = 542,781.72 × 151,343.82
  4. Step 4: Simplify right side
    361,853.46x = 82,146,658,930.97
  5. Step 5: Solve for x
    x = 82,146,658,930.97/361,853.46
  6. Step 6: Final answer
    x = 227,016.37

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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.