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Finding the Fourth Proportional to 264,086.49, 364,438.31 and 143,227.29

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Solution

The fourth proportional to 264,086.49, 364,438.31 and 143,227.29 is: 197,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,086.49 : 364,438.31 = 143,227.29 : x
  2. Step 2: Convert to fraction form
    264,086.49/364,438.31 = 143,227.29/x
  3. Step 3: Cross multiply
    264,086.49x = 364,438.31 × 143,227.29
  4. Step 4: Simplify right side
    264,086.49x = 52,197,510,797.34
  5. Step 5: Solve for x
    x = 52,197,510,797.34/264,086.49
  6. Step 6: Final answer
    x = 197,653.09

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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.