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Finding the Fourth Proportional to 225,609, 338,418.94 and 75,851.24

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Solution

The fourth proportional to 225,609, 338,418.94 and 75,851.24 is: 113,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,609 : 338,418.94 = 75,851.24 : x
  2. Step 2: Convert to fraction form
    225,609/338,418.94 = 75,851.24/x
  3. Step 3: Cross multiply
    225,609x = 338,418.94 × 75,851.24
  4. Step 4: Simplify right side
    225,609x = 25,669,496,238.49
  5. Step 5: Solve for x
    x = 25,669,496,238.49/225,609
  6. Step 6: Final answer
    x = 113,778.69

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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.