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Finding the Fourth Proportional to 206,676, 310,016.88 and 58,932

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Solution

The fourth proportional to 206,676, 310,016.88 and 58,932 is: 88,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,676 : 310,016.88 = 58,932 : x
  2. Step 2: Convert to fraction form
    206,676/310,016.88 = 58,932/x
  3. Step 3: Cross multiply
    206,676x = 310,016.88 × 58,932
  4. Step 4: Simplify right side
    206,676x = 18,269,914,772.16
  5. Step 5: Solve for x
    x = 18,269,914,772.16/206,676
  6. Step 6: Final answer
    x = 88,398.82

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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.