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Finding the Fourth Proportional to 188,341.44, 282,514.49 and 55,224.33

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Solution

The fourth proportional to 188,341.44, 282,514.49 and 55,224.33 is: 82,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,341.44 : 282,514.49 = 55,224.33 : x
  2. Step 2: Convert to fraction form
    188,341.44/282,514.49 = 55,224.33/x
  3. Step 3: Cross multiply
    188,341.44x = 282,514.49 × 55,224.33
  4. Step 4: Simplify right side
    188,341.44x = 15,601,673,425.54
  5. Step 5: Solve for x
    x = 15,601,673,425.54/188,341.44
  6. Step 6: Final answer
    x = 82,837.18

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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.