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Finding the Fourth Proportional to 196,892.76, 271,712 and 107,468.76

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Solution

The fourth proportional to 196,892.76, 271,712 and 107,468.76 is: 148,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,892.76 : 271,712 = 107,468.76 : x
  2. Step 2: Convert to fraction form
    196,892.76/271,712 = 107,468.76/x
  3. Step 3: Cross multiply
    196,892.76x = 271,712 × 107,468.76
  4. Step 4: Simplify right side
    196,892.76x = 29,200,551,717.12
  5. Step 5: Solve for x
    x = 29,200,551,717.12/196,892.76
  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.