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Finding the Fourth Proportional to 126,197, 189,240.06 and 47,255.85

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Solution

The fourth proportional to 126,197, 189,240.06 and 47,255.85 is: 70,863.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,197 : 189,240.06 = 47,255.85 : x
  2. Step 2: Convert to fraction form
    126,197/189,240.06 = 47,255.85/x
  3. Step 3: Cross multiply
    126,197x = 189,240.06 × 47,255.85
  4. Step 4: Simplify right side
    126,197x = 8,942,699,889.35
  5. Step 5: Solve for x
    x = 8,942,699,889.35/126,197
  6. Step 6: Final answer
    x = 70,863.01

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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.