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Finding the Fourth Proportional to 266,735.54, 368,228.86 and 206,169.42

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Solution

The fourth proportional to 266,735.54, 368,228.86 and 206,169.42 is: 284,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,735.54 : 368,228.86 = 206,169.42 : x
  2. Step 2: Convert to fraction form
    266,735.54/368,228.86 = 206,169.42/x
  3. Step 3: Cross multiply
    266,735.54x = 368,228.86 × 206,169.42
  4. Step 4: Simplify right side
    266,735.54x = 75,917,530,493.46
  5. Step 5: Solve for x
    x = 75,917,530,493.46/266,735.54
  6. Step 6: Final answer
    x = 284,617.23

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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.