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Finding the Fourth Proportional to 196,616.40, 271,341 and 107,198.16

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Solution

The fourth proportional to 196,616.40, 271,341 and 107,198.16 is: 147,939.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,616.40 : 271,341 = 107,198.16 : x
  2. Step 2: Convert to fraction form
    196,616.40/271,341 = 107,198.16/x
  3. Step 3: Cross multiply
    196,616.40x = 271,341 × 107,198.16
  4. Step 4: Simplify right side
    196,616.40x = 29,087,255,932.56
  5. Step 5: Solve for x
    x = 29,087,255,932.56/196,616.40
  6. Step 6: Final answer
    x = 147,939.11

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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.