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Finding the Fourth Proportional to 195,732.54, 270,098.12 and 115,144.49

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Solution

The fourth proportional to 195,732.54, 270,098.12 and 115,144.49 is: 158,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,732.54 : 270,098.12 = 115,144.49 : x
  2. Step 2: Convert to fraction form
    195,732.54/270,098.12 = 115,144.49/x
  3. Step 3: Cross multiply
    195,732.54x = 270,098.12 × 115,144.49
  4. Step 4: Simplify right side
    195,732.54x = 31,100,308,351.15
  5. Step 5: Solve for x
    x = 31,100,308,351.15/195,732.54
  6. Step 6: Final answer
    x = 158,891.87

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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.