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Finding the Fourth Proportional to 114,863.60, 171,906.60 and 100,866.80

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Solution

The fourth proportional to 114,863.60, 171,906.60 and 100,866.80 is: 150,958.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,863.60 : 171,906.60 = 100,866.80 : x
  2. Step 2: Convert to fraction form
    114,863.60/171,906.60 = 100,866.80/x
  3. Step 3: Cross multiply
    114,863.60x = 171,906.60 × 100,866.80
  4. Step 4: Simplify right side
    114,863.60x = 17,339,668,640.88
  5. Step 5: Solve for x
    x = 17,339,668,640.88/114,863.60
  6. Step 6: Final answer
    x = 150,958.78

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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.