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Finding the Fourth Proportional to 257,996.68, 356,057.77 and 143,297.44

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Solution

The fourth proportional to 257,996.68, 356,057.77 and 143,297.44 is: 197,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,996.68 : 356,057.77 = 143,297.44 : x
  2. Step 2: Convert to fraction form
    257,996.68/356,057.77 = 143,297.44/x
  3. Step 3: Cross multiply
    257,996.68x = 356,057.77 × 143,297.44
  4. Step 4: Simplify right side
    257,996.68x = 51,022,166,933.11
  5. Step 5: Solve for x
    x = 51,022,166,933.11/257,996.68
  6. Step 6: Final answer
    x = 197,762.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.