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Finding the Fourth Proportional to 149,891.28, 206,850 and 82,823.28

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Solution

The fourth proportional to 149,891.28, 206,850 and 82,823.28 is: 114,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,891.28 : 206,850 = 82,823.28 : x
  2. Step 2: Convert to fraction form
    149,891.28/206,850 = 82,823.28/x
  3. Step 3: Cross multiply
    149,891.28x = 206,850 × 82,823.28
  4. Step 4: Simplify right side
    149,891.28x = 17,131,995,468
  5. Step 5: Solve for x
    x = 17,131,995,468/149,891.28
  6. Step 6: Final answer
    x = 114,296.14

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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.