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Finding the Fourth Proportional to 110,906.76, 166,377.42 and 66,523.08

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Solution

The fourth proportional to 110,906.76, 166,377.42 and 66,523.08 is: 99,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,906.76 : 166,377.42 = 66,523.08 : x
  2. Step 2: Convert to fraction form
    110,906.76/166,377.42 = 66,523.08/x
  3. Step 3: Cross multiply
    110,906.76x = 166,377.42 × 66,523.08
  4. Step 4: Simplify right side
    110,906.76x = 11,067,938,420.85
  5. Step 5: Solve for x
    x = 11,067,938,420.85/110,906.76
  6. Step 6: Final answer
    x = 99,794.98

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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.