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Finding the Fourth Proportional to 110,189.88, 165,286.66 and 57,701.88

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Solution

The fourth proportional to 110,189.88, 165,286.66 and 57,701.88 is: 86,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,189.88 : 165,286.66 = 57,701.88 : x
  2. Step 2: Convert to fraction form
    110,189.88/165,286.66 = 57,701.88/x
  3. Step 3: Cross multiply
    110,189.88x = 165,286.66 × 57,701.88
  4. Step 4: Simplify right side
    110,189.88x = 9,537,351,020.92
  5. Step 5: Solve for x
    x = 9,537,351,020.92/110,189.88
  6. Step 6: Final answer
    x = 86,553.78

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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.