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Finding the Fourth Proportional to 111,584.72, 167,234.76 and 52,289.60

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Solution

The fourth proportional to 111,584.72, 167,234.76 and 52,289.60 is: 78,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,584.72 : 167,234.76 = 52,289.60 : x
  2. Step 2: Convert to fraction form
    111,584.72/167,234.76 = 52,289.60/x
  3. Step 3: Cross multiply
    111,584.72x = 167,234.76 × 52,289.60
  4. Step 4: Simplify right side
    111,584.72x = 8,744,638,706.50
  5. Step 5: Solve for x
    x = 8,744,638,706.50/111,584.72
  6. Step 6: Final answer
    x = 78,367.71

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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.