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Finding the Fourth Proportional to 196,770.82, 271,542.46 and 111,887.88

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Solution

The fourth proportional to 196,770.82, 271,542.46 and 111,887.88 is: 154,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,770.82 : 271,542.46 = 111,887.88 : x
  2. Step 2: Convert to fraction form
    196,770.82/271,542.46 = 111,887.88/x
  3. Step 3: Cross multiply
    196,770.82x = 271,542.46 × 111,887.88
  4. Step 4: Simplify right side
    196,770.82x = 30,382,310,179.38
  5. Step 5: Solve for x
    x = 30,382,310,179.38/196,770.82
  6. Step 6: Final answer
    x = 154,404.55

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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.