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Finding the Fourth Proportional to 114,568.41, 171,797.06 and 67,198.98

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Solution

The fourth proportional to 114,568.41, 171,797.06 and 67,198.98 is: 100,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,568.41 : 171,797.06 = 67,198.98 : x
  2. Step 2: Convert to fraction form
    114,568.41/171,797.06 = 67,198.98/x
  3. Step 3: Cross multiply
    114,568.41x = 171,797.06 × 67,198.98
  4. Step 4: Simplify right side
    114,568.41x = 11,544,586,863.00
  5. Step 5: Solve for x
    x = 11,544,586,863.00/114,568.41
  6. Step 6: Final answer
    x = 100,765.88

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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.