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Finding the Fourth Proportional to 120,301.92, 180,446.28 and 41,414.40

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Solution

The fourth proportional to 120,301.92, 180,446.28 and 41,414.40 is: 62,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,301.92 : 180,446.28 = 41,414.40 : x
  2. Step 2: Convert to fraction form
    120,301.92/180,446.28 = 41,414.40/x
  3. Step 3: Cross multiply
    120,301.92x = 180,446.28 × 41,414.40
  4. Step 4: Simplify right side
    120,301.92x = 7,473,074,418.43
  5. Step 5: Solve for x
    x = 7,473,074,418.43/120,301.92
  6. Step 6: Final answer
    x = 62,119.33

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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.