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Finding the Fourth Proportional to 140,651.88, 194,099.84 and 76,993.72

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Solution

The fourth proportional to 140,651.88, 194,099.84 and 76,993.72 is: 106,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,651.88 : 194,099.84 = 76,993.72 : x
  2. Step 2: Convert to fraction form
    140,651.88/194,099.84 = 76,993.72/x
  3. Step 3: Cross multiply
    140,651.88x = 194,099.84 × 76,993.72
  4. Step 4: Simplify right side
    140,651.88x = 14,944,468,733.00
  5. Step 5: Solve for x
    x = 14,944,468,733.00/140,651.88
  6. Step 6: Final answer
    x = 106,251.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.