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Finding the Fourth Proportional to 204,223.44, 306,335.30 and 63,993

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Solution

The fourth proportional to 204,223.44, 306,335.30 and 63,993 is: 95,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,223.44 : 306,335.30 = 63,993 : x
  2. Step 2: Convert to fraction form
    204,223.44/306,335.30 = 63,993/x
  3. Step 3: Cross multiply
    204,223.44x = 306,335.30 × 63,993
  4. Step 4: Simplify right side
    204,223.44x = 19,603,314,532.94
  5. Step 5: Solve for x
    x = 19,603,314,532.94/204,223.44
  6. Step 6: Final answer
    x = 95,989.54

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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.