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Finding the Fourth Proportional to 119,589.26, 165,040.70 and 65,874.24

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Solution

The fourth proportional to 119,589.26, 165,040.70 and 65,874.24 is: 90,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,589.26 : 165,040.70 = 65,874.24 : x
  2. Step 2: Convert to fraction form
    119,589.26/165,040.70 = 65,874.24/x
  3. Step 3: Cross multiply
    119,589.26x = 165,040.70 × 65,874.24
  4. Step 4: Simplify right side
    119,589.26x = 10,871,930,352.20
  5. Step 5: Solve for x
    x = 10,871,930,352.20/119,589.26
  6. Step 6: Final answer
    x = 90,910.60

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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.