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Finding the Fourth Proportional to 206,843.14, 285,444.57 and 116,202.94

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Solution

The fourth proportional to 206,843.14, 285,444.57 and 116,202.94 is: 160,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,843.14 : 285,444.57 = 116,202.94 : x
  2. Step 2: Convert to fraction form
    206,843.14/285,444.57 = 116,202.94/x
  3. Step 3: Cross multiply
    206,843.14x = 285,444.57 × 116,202.94
  4. Step 4: Simplify right side
    206,843.14x = 33,169,498,241.04
  5. Step 5: Solve for x
    x = 33,169,498,241.04/206,843.14
  6. Step 6: Final answer
    x = 160,360.64

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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.