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Finding the Fourth Proportional to 111,344.12, 167,008.62 and 52,193

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Solution

The fourth proportional to 111,344.12, 167,008.62 and 52,193 is: 78,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,344.12 : 167,008.62 = 52,193 : x
  2. Step 2: Convert to fraction form
    111,344.12/167,008.62 = 52,193/x
  3. Step 3: Cross multiply
    111,344.12x = 167,008.62 × 52,193
  4. Step 4: Simplify right side
    111,344.12x = 8,716,680,903.66
  5. Step 5: Solve for x
    x = 8,716,680,903.66/111,344.12
  6. Step 6: Final answer
    x = 78,285.96

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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.