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Finding the Fourth Proportional to 127,969.60, 192,100.20 and 75,408.70

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Solution

The fourth proportional to 127,969.60, 192,100.20 and 75,408.70 is: 113,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,969.60 : 192,100.20 = 75,408.70 : x
  2. Step 2: Convert to fraction form
    127,969.60/192,100.20 = 75,408.70/x
  3. Step 3: Cross multiply
    127,969.60x = 192,100.20 × 75,408.70
  4. Step 4: Simplify right side
    127,969.60x = 14,486,026,351.74
  5. Step 5: Solve for x
    x = 14,486,026,351.74/127,969.60
  6. Step 6: Final answer
    x = 113,198.97

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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.