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Finding the Fourth Proportional to 96,209.10, 144,310.41 and 43,581.78

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Solution

The fourth proportional to 96,209.10, 144,310.41 and 43,581.78 is: 65,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,209.10 : 144,310.41 = 43,581.78 : x
  2. Step 2: Convert to fraction form
    96,209.10/144,310.41 = 43,581.78/x
  3. Step 3: Cross multiply
    96,209.10x = 144,310.41 × 43,581.78
  4. Step 4: Simplify right side
    96,209.10x = 6,289,304,540.33
  5. Step 5: Solve for x
    x = 6,289,304,540.33/96,209.10
  6. Step 6: Final answer
    x = 65,371.20

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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.