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Finding the Fourth Proportional to 203,777.20, 305,679.30 and 54,015.40

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Solution

The fourth proportional to 203,777.20, 305,679.30 and 54,015.40 is: 81,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,777.20 : 305,679.30 = 54,015.40 : x
  2. Step 2: Convert to fraction form
    203,777.20/305,679.30 = 54,015.40/x
  3. Step 3: Cross multiply
    203,777.20x = 305,679.30 × 54,015.40
  4. Step 4: Simplify right side
    203,777.20x = 16,511,389,661.22
  5. Step 5: Solve for x
    x = 16,511,389,661.22/203,777.20
  6. Step 6: Final answer
    x = 81,026.68

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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.