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Finding the Fourth Proportional to 111,155.86, 166,747.50 and 36,255.98

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Solution

The fourth proportional to 111,155.86, 166,747.50 and 36,255.98 is: 54,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,155.86 : 166,747.50 = 36,255.98 : x
  2. Step 2: Convert to fraction form
    111,155.86/166,747.50 = 36,255.98/x
  3. Step 3: Cross multiply
    111,155.86x = 166,747.50 × 36,255.98
  4. Step 4: Simplify right side
    111,155.86x = 6,045,594,025.05
  5. Step 5: Solve for x
    x = 6,045,594,025.05/111,155.86
  6. Step 6: Final answer
    x = 54,388.44

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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.