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Finding the Fourth Proportional to 361,408.20, 542,138.94 and 95,166.88

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Solution

The fourth proportional to 361,408.20, 542,138.94 and 95,166.88 is: 142,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,408.20 : 542,138.94 = 95,166.88 : x
  2. Step 2: Convert to fraction form
    361,408.20/542,138.94 = 95,166.88/x
  3. Step 3: Cross multiply
    361,408.20x = 542,138.94 × 95,166.88
  4. Step 4: Simplify right side
    361,408.20x = 51,593,671,446.31
  5. Step 5: Solve for x
    x = 51,593,671,446.31/361,408.20
  6. Step 6: Final answer
    x = 142,757.33

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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.