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Finding the Fourth Proportional to 297,132.75, 410,040.19 and 161,163.78

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Solution

The fourth proportional to 297,132.75, 410,040.19 and 161,163.78 is: 222,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,132.75 : 410,040.19 = 161,163.78 : x
  2. Step 2: Convert to fraction form
    297,132.75/410,040.19 = 161,163.78/x
  3. Step 3: Cross multiply
    297,132.75x = 410,040.19 × 161,163.78
  4. Step 4: Simplify right side
    297,132.75x = 66,083,626,166.50
  5. Step 5: Solve for x
    x = 66,083,626,166.50/297,132.75
  6. Step 6: Final answer
    x = 222,404.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.