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Finding the Fourth Proportional to 361,348.52, 542,023.10 and 150,871.72

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Solution

The fourth proportional to 361,348.52, 542,023.10 and 150,871.72 is: 226,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,348.52 : 542,023.10 = 150,871.72 : x
  2. Step 2: Convert to fraction form
    361,348.52/542,023.10 = 150,871.72/x
  3. Step 3: Cross multiply
    361,348.52x = 542,023.10 × 150,871.72
  4. Step 4: Simplify right side
    361,348.52x = 81,775,957,376.73
  5. Step 5: Solve for x
    x = 81,775,957,376.73/361,348.52
  6. Step 6: Final answer
    x = 226,307.71

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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.