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Finding the Fourth Proportional to 111,540.70, 167,311.05 and 78,298.30

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Solution

The fourth proportional to 111,540.70, 167,311.05 and 78,298.30 is: 117,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,540.70 : 167,311.05 = 78,298.30 : x
  2. Step 2: Convert to fraction form
    111,540.70/167,311.05 = 78,298.30/x
  3. Step 3: Cross multiply
    111,540.70x = 167,311.05 × 78,298.30
  4. Step 4: Simplify right side
    111,540.70x = 13,100,170,786.22
  5. Step 5: Solve for x
    x = 13,100,170,786.22/111,540.70
  6. Step 6: Final answer
    x = 117,447.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.