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Finding the Fourth Proportional to 275,542.74, 412,919.43 and 156,969.24

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Solution

The fourth proportional to 275,542.74, 412,919.43 and 156,969.24 is: 235,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,542.74 : 412,919.43 = 156,969.24 : x
  2. Step 2: Convert to fraction form
    275,542.74/412,919.43 = 156,969.24/x
  3. Step 3: Cross multiply
    275,542.74x = 412,919.43 × 156,969.24
  4. Step 4: Simplify right side
    275,542.74x = 64,815,649,108.33
  5. Step 5: Solve for x
    x = 64,815,649,108.33/275,542.74
  6. Step 6: Final answer
    x = 235,229.02

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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.