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Finding the Fourth Proportional to 196,358.47, 270,912.41 and 119,839.27

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Solution

The fourth proportional to 196,358.47, 270,912.41 and 119,839.27 is: 165,340.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,358.47 : 270,912.41 = 119,839.27 : x
  2. Step 2: Convert to fraction form
    196,358.47/270,912.41 = 119,839.27/x
  3. Step 3: Cross multiply
    196,358.47x = 270,912.41 × 119,839.27
  4. Step 4: Simplify right side
    196,358.47x = 32,465,944,629.39
  5. Step 5: Solve for x
    x = 32,465,944,629.39/196,358.47
  6. Step 6: Final answer
    x = 165,340.18

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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.