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Finding the Fourth Proportional to 206,705.88, 285,270.66 and 116,067.87

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Solution

The fourth proportional to 206,705.88, 285,270.66 and 116,067.87 is: 160,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,705.88 : 285,270.66 = 116,067.87 : x
  2. Step 2: Convert to fraction form
    206,705.88/285,270.66 = 116,067.87/x
  3. Step 3: Cross multiply
    206,705.88x = 285,270.66 × 116,067.87
  4. Step 4: Simplify right side
    206,705.88x = 33,110,757,879.69
  5. Step 5: Solve for x
    x = 33,110,757,879.69/206,705.88
  6. Step 6: Final answer
    x = 160,182.95

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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.