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Finding the Fourth Proportional to 110,906.31, 166,298.67 and 54,622.65

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Solution

The fourth proportional to 110,906.31, 166,298.67 and 54,622.65 is: 81,904.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,906.31 : 166,298.67 = 54,622.65 : x
  2. Step 2: Convert to fraction form
    110,906.31/166,298.67 = 54,622.65/x
  3. Step 3: Cross multiply
    110,906.31x = 166,298.67 × 54,622.65
  4. Step 4: Simplify right side
    110,906.31x = 9,083,674,046.88
  5. Step 5: Solve for x
    x = 9,083,674,046.88/110,906.31
  6. Step 6: Final answer
    x = 81,904.03

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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.