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Finding the Fourth Proportional to 206,864.69, 285,474.38 and 116,224.47

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Solution

The fourth proportional to 206,864.69, 285,474.38 and 116,224.47 is: 160,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,864.69 : 285,474.38 = 116,224.47 : x
  2. Step 2: Convert to fraction form
    206,864.69/285,474.38 = 116,224.47/x
  3. Step 3: Cross multiply
    206,864.69x = 285,474.38 × 116,224.47
  4. Step 4: Simplify right side
    206,864.69x = 33,179,107,932.96
  5. Step 5: Solve for x
    x = 33,179,107,932.96/206,864.69
  6. Step 6: Final answer
    x = 160,390.39

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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.