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Finding the Fourth Proportional to 111,194.86, 166,757.46 and 36,297.94

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Solution

The fourth proportional to 111,194.86, 166,757.46 and 36,297.94 is: 54,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,194.86 : 166,757.46 = 36,297.94 : x
  2. Step 2: Convert to fraction form
    111,194.86/166,757.46 = 36,297.94/x
  3. Step 3: Cross multiply
    111,194.86x = 166,757.46 × 36,297.94
  4. Step 4: Simplify right side
    111,194.86x = 6,052,952,277.63
  5. Step 5: Solve for x
    x = 6,052,952,277.63/111,194.86
  6. Step 6: Final answer
    x = 54,435.54

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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.