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Finding the Fourth Proportional to 188,414.88, 282,663.84 and 104,297.73

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Solution

The fourth proportional to 188,414.88, 282,663.84 and 104,297.73 is: 156,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,414.88 : 282,663.84 = 104,297.73 : x
  2. Step 2: Convert to fraction form
    188,414.88/282,663.84 = 104,297.73/x
  3. Step 3: Cross multiply
    188,414.88x = 282,663.84 × 104,297.73
  4. Step 4: Simplify right side
    188,414.88x = 29,481,196,865.08
  5. Step 5: Solve for x
    x = 29,481,196,865.08/188,414.88
  6. Step 6: Final answer
    x = 156,469.58

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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.