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Finding the Fourth Proportional to 129,529.97, 194,321.14 and 54,650.30

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Solution

The fourth proportional to 129,529.97, 194,321.14 and 54,650.30 is: 81,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,529.97 : 194,321.14 = 54,650.30 : x
  2. Step 2: Convert to fraction form
    129,529.97/194,321.14 = 54,650.30/x
  3. Step 3: Cross multiply
    129,529.97x = 194,321.14 × 54,650.30
  4. Step 4: Simplify right side
    129,529.97x = 10,619,707,625.74
  5. Step 5: Solve for x
    x = 10,619,707,625.74/129,529.97
  6. Step 6: Final answer
    x = 81,986.49

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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.