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Finding the Fourth Proportional to 203,527.44, 305,228.97 and 140,751

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Solution

The fourth proportional to 203,527.44, 305,228.97 and 140,751 is: 211,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,527.44 : 305,228.97 = 140,751 : x
  2. Step 2: Convert to fraction form
    203,527.44/305,228.97 = 140,751/x
  3. Step 3: Cross multiply
    203,527.44x = 305,228.97 × 140,751
  4. Step 4: Simplify right side
    203,527.44x = 42,961,282,756.47
  5. Step 5: Solve for x
    x = 42,961,282,756.47/203,527.44
  6. Step 6: Final answer
    x = 211,083.49

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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.