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Finding the Fourth Proportional to 206,843.66, 285,427.43 and 116,194.70

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Solution

The fourth proportional to 206,843.66, 285,427.43 and 116,194.70 is: 160,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,843.66 : 285,427.43 = 116,194.70 : x
  2. Step 2: Convert to fraction form
    206,843.66/285,427.43 = 116,194.70/x
  3. Step 3: Cross multiply
    206,843.66x = 285,427.43 × 116,194.70
  4. Step 4: Simplify right side
    206,843.66x = 33,165,154,600.62
  5. Step 5: Solve for x
    x = 33,165,154,600.62/206,843.66
  6. Step 6: Final answer
    x = 160,339.24

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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.