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Finding the Fourth Proportional to 206,092, 284,406.96 and 116,668

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Solution

The fourth proportional to 206,092, 284,406.96 and 116,668 is: 161,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,092 : 284,406.96 = 116,668 : x
  2. Step 2: Convert to fraction form
    206,092/284,406.96 = 116,668/x
  3. Step 3: Cross multiply
    206,092x = 284,406.96 × 116,668
  4. Step 4: Simplify right side
    206,092x = 33,181,191,209.28
  5. Step 5: Solve for x
    x = 33,181,191,209.28/206,092
  6. Step 6: Final answer
    x = 161,001.84

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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.