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Finding the Fourth Proportional to 274,819.80, 412,229.70 and 134,851.80

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Solution

The fourth proportional to 274,819.80, 412,229.70 and 134,851.80 is: 202,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,819.80 : 412,229.70 = 134,851.80 : x
  2. Step 2: Convert to fraction form
    274,819.80/412,229.70 = 134,851.80/x
  3. Step 3: Cross multiply
    274,819.80x = 412,229.70 × 134,851.80
  4. Step 4: Simplify right side
    274,819.80x = 55,589,917,058.46
  5. Step 5: Solve for x
    x = 55,589,917,058.46/274,819.80
  6. Step 6: Final answer
    x = 202,277.70

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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.