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Finding the Fourth Proportional to 106,790.94, 160,180.94 and 27,902.21

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Solution

The fourth proportional to 106,790.94, 160,180.94 and 27,902.21 is: 41,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,790.94 : 160,180.94 = 27,902.21 : x
  2. Step 2: Convert to fraction form
    106,790.94/160,180.94 = 27,902.21/x
  3. Step 3: Cross multiply
    106,790.94x = 160,180.94 × 27,902.21
  4. Step 4: Simplify right side
    106,790.94x = 4,469,401,494.73
  5. Step 5: Solve for x
    x = 4,469,401,494.73/106,790.94
  6. Step 6: Final answer
    x = 41,851.88

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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.