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Finding the Fourth Proportional to 275,107.50, 412,633.60 and 75,447.97

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Solution

The fourth proportional to 275,107.50, 412,633.60 and 75,447.97 is: 113,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,107.50 : 412,633.60 = 75,447.97 : x
  2. Step 2: Convert to fraction form
    275,107.50/412,633.60 = 75,447.97/x
  3. Step 3: Cross multiply
    275,107.50x = 412,633.60 × 75,447.97
  4. Step 4: Simplify right side
    275,107.50x = 31,132,367,473.79
  5. Step 5: Solve for x
    x = 31,132,367,473.79/275,107.50
  6. Step 6: Final answer
    x = 113,164.37

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1.5x scale

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.