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Finding the Fourth Proportional to 200,744.26, 301,233.04 and 89,936.26

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Solution

The fourth proportional to 200,744.26, 301,233.04 and 89,936.26 is: 134,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744.26 : 301,233.04 = 89,936.26 : x
  2. Step 2: Convert to fraction form
    200,744.26/301,233.04 = 89,936.26/x
  3. Step 3: Cross multiply
    200,744.26x = 301,233.04 × 89,936.26
  4. Step 4: Simplify right side
    200,744.26x = 27,091,773,006.03
  5. Step 5: Solve for x
    x = 27,091,773,006.03/200,744.26
  6. Step 6: Final answer
    x = 134,956.65

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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.