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Finding the Fourth Proportional to 206,617.26, 285,109.94 and 115,983.19

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Solution

The fourth proportional to 206,617.26, 285,109.94 and 115,983.19 is: 160,044.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,617.26 : 285,109.94 = 115,983.19 : x
  2. Step 2: Convert to fraction form
    206,617.26/285,109.94 = 115,983.19/x
  3. Step 3: Cross multiply
    206,617.26x = 285,109.94 × 115,983.19
  4. Step 4: Simplify right side
    206,617.26x = 33,067,960,988.25
  5. Step 5: Solve for x
    x = 33,067,960,988.25/206,617.26
  6. Step 6: Final answer
    x = 160,044.52

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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.