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Finding the Fourth Proportional to 206,782.14, 285,355.89 and 116,138.28

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Solution

The fourth proportional to 206,782.14, 285,355.89 and 116,138.28 is: 160,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,782.14 : 285,355.89 = 116,138.28 : x
  2. Step 2: Convert to fraction form
    206,782.14/285,355.89 = 116,138.28/x
  3. Step 3: Cross multiply
    206,782.14x = 285,355.89 × 116,138.28
  4. Step 4: Simplify right side
    206,782.14x = 33,140,742,252.47
  5. Step 5: Solve for x
    x = 33,140,742,252.47/206,782.14
  6. Step 6: Final answer
    x = 160,268.88

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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.