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Finding the Fourth Proportional to 106,195.23, 159,314.72 and 88,786.71

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Solution

The fourth proportional to 106,195.23, 159,314.72 and 88,786.71 is: 133,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,195.23 : 159,314.72 = 88,786.71 : x
  2. Step 2: Convert to fraction form
    106,195.23/159,314.72 = 88,786.71/x
  3. Step 3: Cross multiply
    106,195.23x = 159,314.72 × 88,786.71
  4. Step 4: Simplify right side
    106,195.23x = 14,145,029,399.44
  5. Step 5: Solve for x
    x = 14,145,029,399.44/106,195.23
  6. Step 6: Final answer
    x = 133,198.35

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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.