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Finding the Fourth Proportional to 122,638.14, 169,255.76 and 68,922

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Solution

The fourth proportional to 122,638.14, 169,255.76 and 68,922 is: 95,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,638.14 : 169,255.76 = 68,922 : x
  2. Step 2: Convert to fraction form
    122,638.14/169,255.76 = 68,922/x
  3. Step 3: Cross multiply
    122,638.14x = 169,255.76 × 68,922
  4. Step 4: Simplify right side
    122,638.14x = 11,665,445,146.11
  5. Step 5: Solve for x
    x = 11,665,445,146.11/122,638.14
  6. Step 6: Final answer
    x = 95,120.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.