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Finding the Fourth Proportional to 258,376.50, 356,593.05 and 145,199.25

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Solution

The fourth proportional to 258,376.50, 356,593.05 and 145,199.25 is: 200,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,376.50 : 356,593.05 = 145,199.25 : x
  2. Step 2: Convert to fraction form
    258,376.50/356,593.05 = 145,199.25/x
  3. Step 3: Cross multiply
    258,376.50x = 356,593.05 × 145,199.25
  4. Step 4: Simplify right side
    258,376.50x = 51,777,043,415.21
  5. Step 5: Solve for x
    x = 51,777,043,415.21/258,376.50
  6. Step 6: Final answer
    x = 200,393.78

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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.