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Finding the Fourth Proportional to 196,414.24, 271,042 and 111,520.16

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Solution

The fourth proportional to 196,414.24, 271,042 and 111,520.16 is: 153,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,414.24 : 271,042 = 111,520.16 : x
  2. Step 2: Convert to fraction form
    196,414.24/271,042 = 111,520.16/x
  3. Step 3: Cross multiply
    196,414.24x = 271,042 × 111,520.16
  4. Step 4: Simplify right side
    196,414.24x = 30,226,647,206.72
  5. Step 5: Solve for x
    x = 30,226,647,206.72/196,414.24
  6. Step 6: Final answer
    x = 153,892.34

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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.