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Finding the Fourth Proportional to 122,034.60, 182,836.62 and 106,872.54

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Solution

The fourth proportional to 122,034.60, 182,836.62 and 106,872.54 is: 160,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,034.60 : 182,836.62 = 106,872.54 : x
  2. Step 2: Convert to fraction form
    122,034.60/182,836.62 = 106,872.54/x
  3. Step 3: Cross multiply
    122,034.60x = 182,836.62 × 106,872.54
  4. Step 4: Simplify right side
    122,034.60x = 19,540,213,512.43
  5. Step 5: Solve for x
    x = 19,540,213,512.43/122,034.60
  6. Step 6: Final answer
    x = 160,120.27

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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.