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Finding the Fourth Proportional to 133,049.75, 199,468.62 and 76,826.08

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Solution

The fourth proportional to 133,049.75, 199,468.62 and 76,826.08 is: 115,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,049.75 : 199,468.62 = 76,826.08 : x
  2. Step 2: Convert to fraction form
    133,049.75/199,468.62 = 76,826.08/x
  3. Step 3: Cross multiply
    133,049.75x = 199,468.62 × 76,826.08
  4. Step 4: Simplify right side
    133,049.75x = 15,324,392,157.61
  5. Step 5: Solve for x
    x = 15,324,392,157.61/133,049.75
  6. Step 6: Final answer
    x = 115,177.91

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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.