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Finding the Fourth Proportional to 252,493.29, 378,739.47 and 147,238.44

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Solution

The fourth proportional to 252,493.29, 378,739.47 and 147,238.44 is: 220,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,493.29 : 378,739.47 = 147,238.44 : x
  2. Step 2: Convert to fraction form
    252,493.29/378,739.47 = 147,238.44/x
  3. Step 3: Cross multiply
    252,493.29x = 378,739.47 × 147,238.44
  4. Step 4: Simplify right side
    252,493.29x = 55,765,008,729.23
  5. Step 5: Solve for x
    x = 55,765,008,729.23/252,493.29
  6. Step 6: Final answer
    x = 220,857.39

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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.