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Finding the Fourth Proportional to 196,892.75, 271,712.00 and 107,468.75

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Solution

The fourth proportional to 196,892.75, 271,712.00 and 107,468.75 is: 148,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,892.75 : 271,712.00 = 107,468.75 : x
  2. Step 2: Convert to fraction form
    196,892.75/271,712.00 = 107,468.75/x
  3. Step 3: Cross multiply
    196,892.75x = 271,712.00 × 107,468.75
  4. Step 4: Simplify right side
    196,892.75x = 29,200,548,462.66
  5. Step 5: Solve for x
    x = 29,200,548,462.66/196,892.75
  6. Step 6: Final answer
    x = 148,306.88

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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.