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Finding the Fourth Proportional to 275,138.91, 412,665.84 and 113,049.41

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Solution

The fourth proportional to 275,138.91, 412,665.84 and 113,049.41 is: 169,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,138.91 : 412,665.84 = 113,049.41 : x
  2. Step 2: Convert to fraction form
    275,138.91/412,665.84 = 113,049.41/x
  3. Step 3: Cross multiply
    275,138.91x = 412,665.84 × 113,049.41
  4. Step 4: Simplify right side
    275,138.91x = 46,651,627,675.83
  5. Step 5: Solve for x
    x = 46,651,627,675.83/275,138.91
  6. Step 6: Final answer
    x = 169,556.63

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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.