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Finding the Fourth Proportional to 196,954.52, 271,793.76 and 112,069.76

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Solution

The fourth proportional to 196,954.52, 271,793.76 and 112,069.76 is: 154,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,954.52 : 271,793.76 = 112,069.76 : x
  2. Step 2: Convert to fraction form
    196,954.52/271,793.76 = 112,069.76/x
  3. Step 3: Cross multiply
    196,954.52x = 271,793.76 × 112,069.76
  4. Step 4: Simplify right side
    196,954.52x = 30,459,861,452.70
  5. Step 5: Solve for x
    x = 30,459,861,452.70/196,954.52
  6. Step 6: Final answer
    x = 154,654.29

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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.