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Finding the Fourth Proportional to 196,287.25, 270,876.42 and 106,863.25

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Solution

The fourth proportional to 196,287.25, 270,876.42 and 106,863.25 is: 147,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,287.25 : 270,876.42 = 106,863.25 : x
  2. Step 2: Convert to fraction form
    196,287.25/270,876.42 = 106,863.25/x
  3. Step 3: Cross multiply
    196,287.25x = 270,876.42 × 106,863.25
  4. Step 4: Simplify right side
    196,287.25x = 28,946,734,589.57
  5. Step 5: Solve for x
    x = 28,946,734,589.57/196,287.25
  6. Step 6: Final answer
    x = 147,471.29

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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.