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Finding the Fourth Proportional to 196,434.38, 271,066.68 and 115,843.43

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Solution

The fourth proportional to 196,434.38, 271,066.68 and 115,843.43 is: 159,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,434.38 : 271,066.68 = 115,843.43 : x
  2. Step 2: Convert to fraction form
    196,434.38/271,066.68 = 115,843.43/x
  3. Step 3: Cross multiply
    196,434.38x = 271,066.68 × 115,843.43
  4. Step 4: Simplify right side
    196,434.38x = 31,401,292,614.58
  5. Step 5: Solve for x
    x = 31,401,292,614.58/196,434.38
  6. Step 6: Final answer
    x = 159,856.40

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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.