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Finding the Fourth Proportional to 120,594.75, 180,919.68 and 41,708.89

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Solution

The fourth proportional to 120,594.75, 180,919.68 and 41,708.89 is: 62,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,594.75 : 180,919.68 = 41,708.89 : x
  2. Step 2: Convert to fraction form
    120,594.75/180,919.68 = 41,708.89/x
  3. Step 3: Cross multiply
    120,594.75x = 180,919.68 × 41,708.89
  4. Step 4: Simplify right side
    120,594.75x = 7,545,959,101.70
  5. Step 5: Solve for x
    x = 7,545,959,101.70/120,594.75
  6. Step 6: Final answer
    x = 62,572.87

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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.