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Finding the Fourth Proportional to 206,893.92, 285,568.18 and 122,067.48

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Solution

The fourth proportional to 206,893.92, 285,568.18 and 122,067.48 is: 168,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,893.92 : 285,568.18 = 122,067.48 : x
  2. Step 2: Convert to fraction form
    206,893.92/285,568.18 = 122,067.48/x
  3. Step 3: Cross multiply
    206,893.92x = 285,568.18 × 122,067.48
  4. Step 4: Simplify right side
    206,893.92x = 34,858,588,100.79
  5. Step 5: Solve for x
    x = 34,858,588,100.79/206,893.92
  6. Step 6: Final answer
    x = 168,485.32

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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.