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Finding the Fourth Proportional to 206,666, 310,001.88 and 58,922

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Solution

The fourth proportional to 206,666, 310,001.88 and 58,922 is: 88,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,666 : 310,001.88 = 58,922 : x
  2. Step 2: Convert to fraction form
    206,666/310,001.88 = 58,922/x
  3. Step 3: Cross multiply
    206,666x = 310,001.88 × 58,922
  4. Step 4: Simplify right side
    206,666x = 18,265,930,773.36
  5. Step 5: Solve for x
    x = 18,265,930,773.36/206,666
  6. Step 6: Final answer
    x = 88,383.82

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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.