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Finding the Fourth Proportional to 203,883.60, 305,825.40 and 133,024.80

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Solution

The fourth proportional to 203,883.60, 305,825.40 and 133,024.80 is: 199,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,883.60 : 305,825.40 = 133,024.80 : x
  2. Step 2: Convert to fraction form
    203,883.60/305,825.40 = 133,024.80/x
  3. Step 3: Cross multiply
    203,883.60x = 305,825.40 × 133,024.80
  4. Step 4: Simplify right side
    203,883.60x = 40,682,362,669.92
  5. Step 5: Solve for x
    x = 40,682,362,669.92/203,883.60
  6. Step 6: Final answer
    x = 199,537.20

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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.