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Finding the Fourth Proportional to 206,842.64, 285,443.88 and 116,202.44

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Solution

The fourth proportional to 206,842.64, 285,443.88 and 116,202.44 is: 160,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,842.64 : 285,443.88 = 116,202.44 : x
  2. Step 2: Convert to fraction form
    206,842.64/285,443.88 = 116,202.44/x
  3. Step 3: Cross multiply
    206,842.64x = 285,443.88 × 116,202.44
  4. Step 4: Simplify right side
    206,842.64x = 33,169,275,339.07
  5. Step 5: Solve for x
    x = 33,169,275,339.07/206,842.64
  6. Step 6: Final answer
    x = 160,359.95

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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.