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Finding the Fourth Proportional to 126,163.75, 189,031.38 and 76,138.72

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Solution

The fourth proportional to 126,163.75, 189,031.38 and 76,138.72 is: 114,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,163.75 : 189,031.38 = 76,138.72 : x
  2. Step 2: Convert to fraction form
    126,163.75/189,031.38 = 76,138.72/x
  3. Step 3: Cross multiply
    126,163.75x = 189,031.38 × 76,138.72
  4. Step 4: Simplify right side
    126,163.75x = 14,392,607,313.03
  5. Step 5: Solve for x
    x = 14,392,607,313.03/126,163.75
  6. Step 6: Final answer
    x = 114,078.79

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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.