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Finding the Fourth Proportional to 106,794.27, 160,200.63 and 27,908.46

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Solution

The fourth proportional to 106,794.27, 160,200.63 and 27,908.46 is: 41,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,794.27 : 160,200.63 = 27,908.46 : x
  2. Step 2: Convert to fraction form
    106,794.27/160,200.63 = 27,908.46/x
  3. Step 3: Cross multiply
    106,794.27x = 160,200.63 × 27,908.46
  4. Step 4: Simplify right side
    106,794.27x = 4,470,952,874.33
  5. Step 5: Solve for x
    x = 4,470,952,874.33/106,794.27
  6. Step 6: Final answer
    x = 41,865.10

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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.