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Finding the Fourth Proportional to 200,972.73, 300,996.99 and 112,029.27

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Solution

The fourth proportional to 200,972.73, 300,996.99 and 112,029.27 is: 167,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,972.73 : 300,996.99 = 112,029.27 : x
  2. Step 2: Convert to fraction form
    200,972.73/300,996.99 = 112,029.27/x
  3. Step 3: Cross multiply
    200,972.73x = 300,996.99 × 112,029.27
  4. Step 4: Simplify right side
    200,972.73x = 33,720,473,061.90
  5. Step 5: Solve for x
    x = 33,720,473,061.90/200,972.73
  6. Step 6: Final answer
    x = 167,786.31

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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.