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Finding the Fourth Proportional to 198,855.44, 298,137.36 and 93,617

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Solution

The fourth proportional to 198,855.44, 298,137.36 and 93,617 is: 140,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,855.44 : 298,137.36 = 93,617 : x
  2. Step 2: Convert to fraction form
    198,855.44/298,137.36 = 93,617/x
  3. Step 3: Cross multiply
    198,855.44x = 298,137.36 × 93,617
  4. Step 4: Simplify right side
    198,855.44x = 27,910,725,231.12
  5. Step 5: Solve for x
    x = 27,910,725,231.12/198,855.44
  6. Step 6: Final answer
    x = 140,356.86

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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.