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Finding the Fourth Proportional to 107,773.86, 148,745.52 and 82,231.86

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Solution

The fourth proportional to 107,773.86, 148,745.52 and 82,231.86 is: 113,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,773.86 : 148,745.52 = 82,231.86 : x
  2. Step 2: Convert to fraction form
    107,773.86/148,745.52 = 82,231.86/x
  3. Step 3: Cross multiply
    107,773.86x = 148,745.52 × 82,231.86
  4. Step 4: Simplify right side
    107,773.86x = 12,231,620,776.27
  5. Step 5: Solve for x
    x = 12,231,620,776.27/107,773.86
  6. Step 6: Final answer
    x = 113,493.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.