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Finding the Fourth Proportional to 196,667, 271,423.76 and 111,796.84

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Solution

The fourth proportional to 196,667, 271,423.76 and 111,796.84 is: 154,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,667 : 271,423.76 = 111,796.84 : x
  2. Step 2: Convert to fraction form
    196,667/271,423.76 = 111,796.84/x
  3. Step 3: Cross multiply
    196,667x = 271,423.76 × 111,796.84
  4. Step 4: Simplify right side
    196,667x = 30,344,318,668.92
  5. Step 5: Solve for x
    x = 30,344,318,668.92/196,667
  6. Step 6: Final answer
    x = 154,292.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.