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Finding the Fourth Proportional to 200,381.09, 300,623.91 and 88,083.42

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Solution

The fourth proportional to 200,381.09, 300,623.91 and 88,083.42 is: 132,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,381.09 : 300,623.91 = 88,083.42 : x
  2. Step 2: Convert to fraction form
    200,381.09/300,623.91 = 88,083.42/x
  3. Step 3: Cross multiply
    200,381.09x = 300,623.91 × 88,083.42
  4. Step 4: Simplify right side
    200,381.09x = 26,479,981,906.36
  5. Step 5: Solve for x
    x = 26,479,981,906.36/200,381.09
  6. Step 6: Final answer
    x = 132,148.11

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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.