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Finding the Fourth Proportional to 110,251.75, 165,169.52 and 65,138.50

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Solution

The fourth proportional to 110,251.75, 165,169.52 and 65,138.50 is: 97,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,251.75 : 165,169.52 = 65,138.50 : x
  2. Step 2: Convert to fraction form
    110,251.75/165,169.52 = 65,138.50/x
  3. Step 3: Cross multiply
    110,251.75x = 165,169.52 × 65,138.50
  4. Step 4: Simplify right side
    110,251.75x = 10,758,893,952.67
  5. Step 5: Solve for x
    x = 10,758,893,952.67/110,251.75
  6. Step 6: Final answer
    x = 97,584.79

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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.