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Finding the Fourth Proportional to 149,891.30, 206,850 and 82,823.30

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Solution

The fourth proportional to 149,891.30, 206,850 and 82,823.30 is: 114,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,891.30 : 206,850 = 82,823.30 : x
  2. Step 2: Convert to fraction form
    149,891.30/206,850 = 82,823.30/x
  3. Step 3: Cross multiply
    149,891.30x = 206,850 × 82,823.30
  4. Step 4: Simplify right side
    149,891.30x = 17,131,999,605
  5. Step 5: Solve for x
    x = 17,131,999,605/149,891.30
  6. Step 6: Final answer
    x = 114,296.16

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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.