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Finding the Fourth Proportional to 361,843.20, 542,842.56 and 151,372.80

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Solution

The fourth proportional to 361,843.20, 542,842.56 and 151,372.80 is: 227,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,843.20 : 542,842.56 = 151,372.80 : x
  2. Step 2: Convert to fraction form
    361,843.20/542,842.56 = 151,372.80/x
  3. Step 3: Cross multiply
    361,843.20x = 542,842.56 × 151,372.80
  4. Step 4: Simplify right side
    361,843.20x = 82,171,598,266.37
  5. Step 5: Solve for x
    x = 82,171,598,266.37/361,843.20
  6. Step 6: Final answer
    x = 227,091.73

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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.