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Finding the Fourth Proportional to 106,786.84, 160,169.34 and 27,890.84

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Solution

The fourth proportional to 106,786.84, 160,169.34 and 27,890.84 is: 41,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,786.84 : 160,169.34 = 27,890.84 : x
  2. Step 2: Convert to fraction form
    106,786.84/160,169.34 = 27,890.84/x
  3. Step 3: Cross multiply
    106,786.84x = 160,169.34 × 27,890.84
  4. Step 4: Simplify right side
    106,786.84x = 4,467,257,434.85
  5. Step 5: Solve for x
    x = 4,467,257,434.85/106,786.84
  6. Step 6: Final answer
    x = 41,833.41

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1.5x scale

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.