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Finding the Fourth Proportional to 188,255.22, 282,320.19 and 75,906.42

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Solution

The fourth proportional to 188,255.22, 282,320.19 and 75,906.42 is: 113,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,255.22 : 282,320.19 = 75,906.42 : x
  2. Step 2: Convert to fraction form
    188,255.22/282,320.19 = 75,906.42/x
  3. Step 3: Cross multiply
    188,255.22x = 282,320.19 × 75,906.42
  4. Step 4: Simplify right side
    188,255.22x = 21,429,914,916.62
  5. Step 5: Solve for x
    x = 21,429,914,916.62/188,255.22
  6. Step 6: Final answer
    x = 113,834.37

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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.