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Finding the Fourth Proportional to 361,757.20, 542,830.20 and 151,416.40

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Solution

The fourth proportional to 361,757.20, 542,830.20 and 151,416.40 is: 227,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,757.20 : 542,830.20 = 151,416.40 : x
  2. Step 2: Convert to fraction form
    361,757.20/542,830.20 = 151,416.40/x
  3. Step 3: Cross multiply
    361,757.20x = 542,830.20 × 151,416.40
  4. Step 4: Simplify right side
    361,757.20x = 82,193,394,695.28
  5. Step 5: Solve for x
    x = 82,193,394,695.28/361,757.20
  6. Step 6: Final answer
    x = 227,205.97

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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.