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Finding the Fourth Proportional to 196,945.38, 271,785.72 and 112,062.42

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Solution

The fourth proportional to 196,945.38, 271,785.72 and 112,062.42 is: 154,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,945.38 : 271,785.72 = 112,062.42 : x
  2. Step 2: Convert to fraction form
    196,945.38/271,785.72 = 112,062.42/x
  3. Step 3: Cross multiply
    196,945.38x = 271,785.72 × 112,062.42
  4. Step 4: Simplify right side
    196,945.38x = 30,456,965,504.64
  5. Step 5: Solve for x
    x = 30,456,965,504.64/196,945.38
  6. Step 6: Final answer
    x = 154,646.76

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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.