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Finding the Fourth Proportional to 258,204.25, 356,355.28 and 145,027

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Solution

The fourth proportional to 258,204.25, 356,355.28 and 145,027 is: 200,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,204.25 : 356,355.28 = 145,027 : x
  2. Step 2: Convert to fraction form
    258,204.25/356,355.28 = 145,027/x
  3. Step 3: Cross multiply
    258,204.25x = 356,355.28 × 145,027
  4. Step 4: Simplify right side
    258,204.25x = 51,681,137,192.56
  5. Step 5: Solve for x
    x = 51,681,137,192.56/258,204.25
  6. Step 6: Final answer
    x = 200,156.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.