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Finding the Fourth Proportional to 275,287.62, 412,852.10 and 75,614.52

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Solution

The fourth proportional to 275,287.62, 412,852.10 and 75,614.52 is: 113,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,287.62 : 412,852.10 = 75,614.52 : x
  2. Step 2: Convert to fraction form
    275,287.62/412,852.10 = 75,614.52/x
  3. Step 3: Cross multiply
    275,287.62x = 412,852.10 × 75,614.52
  4. Step 4: Simplify right side
    275,287.62x = 31,217,613,372.49
  5. Step 5: Solve for x
    x = 31,217,613,372.49/275,287.62
  6. Step 6: Final answer
    x = 113,399.99

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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.