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Finding the Fourth Proportional to 196,429.38, 271,059.78 and 115,838.43

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Solution

The fourth proportional to 196,429.38, 271,059.78 and 115,838.43 is: 159,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,429.38 : 271,059.78 = 115,838.43 : x
  2. Step 2: Convert to fraction form
    196,429.38/271,059.78 = 115,838.43/x
  3. Step 3: Cross multiply
    196,429.38x = 271,059.78 × 115,838.43
  4. Step 4: Simplify right side
    196,429.38x = 31,399,139,351.35
  5. Step 5: Solve for x
    x = 31,399,139,351.35/196,429.38
  6. Step 6: Final answer
    x = 159,849.51

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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.