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Finding the Fourth Proportional to 120,584.57, 180,863.89 and 49,514.69

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Solution

The fourth proportional to 120,584.57, 180,863.89 and 49,514.69 is: 74,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,584.57 : 180,863.89 = 49,514.69 : x
  2. Step 2: Convert to fraction form
    120,584.57/180,863.89 = 49,514.69/x
  3. Step 3: Cross multiply
    120,584.57x = 180,863.89 × 49,514.69
  4. Step 4: Simplify right side
    120,584.57x = 8,955,419,773.92
  5. Step 5: Solve for x
    x = 8,955,419,773.92/120,584.57
  6. Step 6: Final answer
    x = 74,266.72

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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.