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Finding the Fourth Proportional to 206,801.39, 285,313.25 and 135,223.31

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Solution

The fourth proportional to 206,801.39, 285,313.25 and 135,223.31 is: 186,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,801.39 : 285,313.25 = 135,223.31 : x
  2. Step 2: Convert to fraction form
    206,801.39/285,313.25 = 135,223.31/x
  3. Step 3: Cross multiply
    206,801.39x = 285,313.25 × 135,223.31
  4. Step 4: Simplify right side
    206,801.39x = 38,581,001,375.74
  5. Step 5: Solve for x
    x = 38,581,001,375.74/206,801.39
  6. Step 6: Final answer
    x = 186,560.65

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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.