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Finding the Fourth Proportional to 122,969.44, 169,701.24 and 75,221.92

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Solution

The fourth proportional to 122,969.44, 169,701.24 and 75,221.92 is: 103,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,969.44 : 169,701.24 = 75,221.92 : x
  2. Step 2: Convert to fraction form
    122,969.44/169,701.24 = 75,221.92/x
  3. Step 3: Cross multiply
    122,969.44x = 169,701.24 × 75,221.92
  4. Step 4: Simplify right side
    122,969.44x = 12,765,253,099.18
  5. Step 5: Solve for x
    x = 12,765,253,099.18/122,969.44
  6. Step 6: Final answer
    x = 103,808.34

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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.