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Finding the Fourth Proportional to 180,524.52, 270,775.85 and 47,401.83

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Solution

The fourth proportional to 180,524.52, 270,775.85 and 47,401.83 is: 71,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,524.52 : 270,775.85 = 47,401.83 : x
  2. Step 2: Convert to fraction form
    180,524.52/270,775.85 = 47,401.83/x
  3. Step 3: Cross multiply
    180,524.52x = 270,775.85 × 47,401.83
  4. Step 4: Simplify right side
    180,524.52x = 12,835,270,572.80
  5. Step 5: Solve for x
    x = 12,835,270,572.80/180,524.52
  6. Step 6: Final answer
    x = 71,099.87

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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.