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Finding the Fourth Proportional to 126,251.46, 189,327.98 and 47,322.63

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Solution

The fourth proportional to 126,251.46, 189,327.98 and 47,322.63 is: 70,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,251.46 : 189,327.98 = 47,322.63 : x
  2. Step 2: Convert to fraction form
    126,251.46/189,327.98 = 47,322.63/x
  3. Step 3: Cross multiply
    126,251.46x = 189,327.98 × 47,322.63
  4. Step 4: Simplify right side
    126,251.46x = 8,959,498,064.49
  5. Step 5: Solve for x
    x = 8,959,498,064.49/126,251.46
  6. Step 6: Final answer
    x = 70,965.50

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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.