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Finding the Fourth Proportional to 129,530.22, 194,321.52 and 54,650.54

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Solution

The fourth proportional to 129,530.22, 194,321.52 and 54,650.54 is: 81,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,530.22 : 194,321.52 = 54,650.54 : x
  2. Step 2: Convert to fraction form
    129,530.22/194,321.52 = 54,650.54/x
  3. Step 3: Cross multiply
    129,530.22x = 194,321.52 × 54,650.54
  4. Step 4: Simplify right side
    129,530.22x = 10,619,776,487.42
  5. Step 5: Solve for x
    x = 10,619,776,487.42/129,530.22
  6. Step 6: Final answer
    x = 81,986.86

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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.