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Finding the Fourth Proportional to 206,906.31, 310,383.77 and 73,805.49

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Solution

The fourth proportional to 206,906.31, 310,383.77 and 73,805.49 is: 110,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,906.31 : 310,383.77 = 73,805.49 : x
  2. Step 2: Convert to fraction form
    206,906.31/310,383.77 = 73,805.49/x
  3. Step 3: Cross multiply
    206,906.31x = 310,383.77 × 73,805.49
  4. Step 4: Simplify right side
    206,906.31x = 22,908,025,863.87
  5. Step 5: Solve for x
    x = 22,908,025,863.87/206,906.31
  6. Step 6: Final answer
    x = 110,716.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.