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Finding the Fourth Proportional to 203,821.50, 305,399.30 and 123,883.92

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Solution

The fourth proportional to 203,821.50, 305,399.30 and 123,883.92 is: 185,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,821.50 : 305,399.30 = 123,883.92 : x
  2. Step 2: Convert to fraction form
    203,821.50/305,399.30 = 123,883.92/x
  3. Step 3: Cross multiply
    203,821.50x = 305,399.30 × 123,883.92
  4. Step 4: Simplify right side
    203,821.50x = 37,834,061,829.84
  5. Step 5: Solve for x
    x = 37,834,061,829.84/203,821.50
  6. Step 6: Final answer
    x = 185,623.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.