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Finding the Fourth Proportional to 122,713.04, 169,245.24 and 82,414.64

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Solution

The fourth proportional to 122,713.04, 169,245.24 and 82,414.64 is: 113,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,713.04 : 169,245.24 = 82,414.64 : x
  2. Step 2: Convert to fraction form
    122,713.04/169,245.24 = 82,414.64/x
  3. Step 3: Cross multiply
    122,713.04x = 169,245.24 × 82,414.64
  4. Step 4: Simplify right side
    122,713.04x = 13,948,285,526.31
  5. Step 5: Solve for x
    x = 13,948,285,526.31/122,713.04
  6. Step 6: Final answer
    x = 113,665.88

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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.