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Finding the Fourth Proportional to 275,364.14, 412,966.80 and 75,691.04

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Solution

The fourth proportional to 275,364.14, 412,966.80 and 75,691.04 is: 113,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,364.14 : 412,966.80 = 75,691.04 : x
  2. Step 2: Convert to fraction form
    275,364.14/412,966.80 = 75,691.04/x
  3. Step 3: Cross multiply
    275,364.14x = 412,966.80 × 75,691.04
  4. Step 4: Simplify right side
    275,364.14x = 31,257,884,512.64
  5. Step 5: Solve for x
    x = 31,257,884,512.64/275,364.14
  6. Step 6: Final answer
    x = 113,514.73

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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.