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Finding the Fourth Proportional to 110,842.60, 166,288.20 and 54,709.60

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Solution

The fourth proportional to 110,842.60, 166,288.20 and 54,709.60 is: 82,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,842.60 : 166,288.20 = 54,709.60 : x
  2. Step 2: Convert to fraction form
    110,842.60/166,288.20 = 54,709.60/x
  3. Step 3: Cross multiply
    110,842.60x = 166,288.20 × 54,709.60
  4. Step 4: Simplify right side
    110,842.60x = 9,097,560,906.72
  5. Step 5: Solve for x
    x = 9,097,560,906.72/110,842.60
  6. Step 6: Final answer
    x = 82,076.39

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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.