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Finding the Fourth Proportional to 196,908.80, 295,517.52 and 137,357.12

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Solution

The fourth proportional to 196,908.80, 295,517.52 and 137,357.12 is: 206,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,908.80 : 295,517.52 = 137,357.12 : x
  2. Step 2: Convert to fraction form
    196,908.80/295,517.52 = 137,357.12/x
  3. Step 3: Cross multiply
    196,908.80x = 295,517.52 × 137,357.12
  4. Step 4: Simplify right side
    196,908.80x = 40,591,435,456.74
  5. Step 5: Solve for x
    x = 40,591,435,456.74/196,908.80
  6. Step 6: Final answer
    x = 206,143.33

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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.