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Finding the Fourth Proportional to 122,989.56, 184,067.34 and 75,634.44

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Solution

The fourth proportional to 122,989.56, 184,067.34 and 75,634.44 is: 113,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,989.56 : 184,067.34 = 75,634.44 : x
  2. Step 2: Convert to fraction form
    122,989.56/184,067.34 = 75,634.44/x
  3. Step 3: Cross multiply
    122,989.56x = 184,067.34 × 75,634.44
  4. Step 4: Simplify right side
    122,989.56x = 13,921,830,183.19
  5. Step 5: Solve for x
    x = 13,921,830,183.19/122,989.56
  6. Step 6: Final answer
    x = 113,195.22

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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.