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Finding the Fourth Proportional to 219,107.71, 327,796.81 and 165,952.84

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Solution

The fourth proportional to 219,107.71, 327,796.81 and 165,952.84 is: 248,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,107.71 : 327,796.81 = 165,952.84 : x
  2. Step 2: Convert to fraction form
    219,107.71/327,796.81 = 165,952.84/x
  3. Step 3: Cross multiply
    219,107.71x = 327,796.81 × 165,952.84
  4. Step 4: Simplify right side
    219,107.71x = 54,398,811,562.44
  5. Step 5: Solve for x
    x = 54,398,811,562.44/219,107.71
  6. Step 6: Final answer
    x = 248,274.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.