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Finding the Fourth Proportional to 206,844.28, 285,452.53 and 116,198.29

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Solution

The fourth proportional to 206,844.28, 285,452.53 and 116,198.29 is: 160,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,844.28 : 285,452.53 = 116,198.29 : x
  2. Step 2: Convert to fraction form
    206,844.28/285,452.53 = 116,198.29/x
  3. Step 3: Cross multiply
    206,844.28x = 285,452.53 × 116,198.29
  4. Step 4: Simplify right side
    206,844.28x = 33,169,094,858.05
  5. Step 5: Solve for x
    x = 33,169,094,858.05/206,844.28
  6. Step 6: Final answer
    x = 160,357.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.