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Finding the Fourth Proportional to 126,267.36, 189,393.64 and 47,375

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Solution

The fourth proportional to 126,267.36, 189,393.64 and 47,375 is: 71,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,267.36 : 189,393.64 = 47,375 : x
  2. Step 2: Convert to fraction form
    126,267.36/189,393.64 = 47,375/x
  3. Step 3: Cross multiply
    126,267.36x = 189,393.64 × 47,375
  4. Step 4: Simplify right side
    126,267.36x = 8,972,523,695
  5. Step 5: Solve for x
    x = 8,972,523,695/126,267.36
  6. Step 6: Final answer
    x = 71,059.72

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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.