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Finding the Fourth Proportional to 200,447.44, 299,974.92 and 124,514.80

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Solution

The fourth proportional to 200,447.44, 299,974.92 and 124,514.80 is: 186,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,447.44 : 299,974.92 = 124,514.80 : x
  2. Step 2: Convert to fraction form
    200,447.44/299,974.92 = 124,514.80/x
  3. Step 3: Cross multiply
    200,447.44x = 299,974.92 × 124,514.80
  4. Step 4: Simplify right side
    200,447.44x = 37,351,317,168.82
  5. Step 5: Solve for x
    x = 37,351,317,168.82/200,447.44
  6. Step 6: Final answer
    x = 186,339.71

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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.