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Finding the Fourth Proportional to 203,519.94, 305,217.72 and 140,743.50

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Solution

The fourth proportional to 203,519.94, 305,217.72 and 140,743.50 is: 211,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,519.94 : 305,217.72 = 140,743.50 : x
  2. Step 2: Convert to fraction form
    203,519.94/305,217.72 = 140,743.50/x
  3. Step 3: Cross multiply
    203,519.94x = 305,217.72 × 140,743.50
  4. Step 4: Simplify right side
    203,519.94x = 42,957,410,174.82
  5. Step 5: Solve for x
    x = 42,957,410,174.82/203,519.94
  6. Step 6: Final answer
    x = 211,072.24

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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.