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Finding the Fourth Proportional to 204,362.82, 306,593.44 and 64,121.44

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Solution

The fourth proportional to 204,362.82, 306,593.44 and 64,121.44 is: 96,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,362.82 : 306,593.44 = 64,121.44 : x
  2. Step 2: Convert to fraction form
    204,362.82/306,593.44 = 64,121.44/x
  3. Step 3: Cross multiply
    204,362.82x = 306,593.44 × 64,121.44
  4. Step 4: Simplify right side
    204,362.82x = 19,659,212,867.35
  5. Step 5: Solve for x
    x = 19,659,212,867.35/204,362.82
  6. Step 6: Final answer
    x = 96,197.60

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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.