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Finding the Fourth Proportional to 196,658.25, 271,388.43 and 111,780.78

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Solution

The fourth proportional to 196,658.25, 271,388.43 and 111,780.78 is: 154,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,658.25 : 271,388.43 = 111,780.78 : x
  2. Step 2: Convert to fraction form
    196,658.25/271,388.43 = 111,780.78/x
  3. Step 3: Cross multiply
    196,658.25x = 271,388.43 × 111,780.78
  4. Step 4: Simplify right side
    196,658.25x = 30,336,010,388.38
  5. Step 5: Solve for x
    x = 30,336,010,388.38/196,658.25
  6. Step 6: Final answer
    x = 154,257.50

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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.