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Finding the Fourth Proportional to 204,404.56, 306,647.84 and 71,249.06

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Solution

The fourth proportional to 204,404.56, 306,647.84 and 71,249.06 is: 106,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,404.56 : 306,647.84 = 71,249.06 : x
  2. Step 2: Convert to fraction form
    204,404.56/306,647.84 = 71,249.06/x
  3. Step 3: Cross multiply
    204,404.56x = 306,647.84 × 71,249.06
  4. Step 4: Simplify right side
    204,404.56x = 21,848,371,295.77
  5. Step 5: Solve for x
    x = 21,848,371,295.77/204,404.56
  6. Step 6: Final answer
    x = 106,887.89

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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.