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Finding the Fourth Proportional to 111,694.56, 167,301.36 and 52,441.44

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Solution

The fourth proportional to 111,694.56, 167,301.36 and 52,441.44 is: 78,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,694.56 : 167,301.36 = 52,441.44 : x
  2. Step 2: Convert to fraction form
    111,694.56/167,301.36 = 52,441.44/x
  3. Step 3: Cross multiply
    111,694.56x = 167,301.36 × 52,441.44
  4. Step 4: Simplify right side
    111,694.56x = 8,773,524,232.36
  5. Step 5: Solve for x
    x = 8,773,524,232.36/111,694.56
  6. Step 6: Final answer
    x = 78,549.25

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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.