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Finding the Fourth Proportional to 188,093.25, 282,144.21 and 45,939.71

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Solution

The fourth proportional to 188,093.25, 282,144.21 and 45,939.71 is: 68,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,093.25 : 282,144.21 = 45,939.71 : x
  2. Step 2: Convert to fraction form
    188,093.25/282,144.21 = 45,939.71/x
  3. Step 3: Cross multiply
    188,093.25x = 282,144.21 × 45,939.71
  4. Step 4: Simplify right side
    188,093.25x = 12,961,622,196.21
  5. Step 5: Solve for x
    x = 12,961,622,196.21/188,093.25
  6. Step 6: Final answer
    x = 68,910.62

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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.