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Finding the Fourth Proportional to 217,286.31, 299,849.84 and 120,489.63

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Solution

The fourth proportional to 217,286.31, 299,849.84 and 120,489.63 is: 166,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,286.31 : 299,849.84 = 120,489.63 : x
  2. Step 2: Convert to fraction form
    217,286.31/299,849.84 = 120,489.63/x
  3. Step 3: Cross multiply
    217,286.31x = 299,849.84 × 120,489.63
  4. Step 4: Simplify right side
    217,286.31x = 36,128,795,674.71
  5. Step 5: Solve for x
    x = 36,128,795,674.71/217,286.31
  6. Step 6: Final answer
    x = 166,272.77

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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.