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Finding the Fourth Proportional to 304,012.38, 419,537.18 and 166,191.91

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Solution

The fourth proportional to 304,012.38, 419,537.18 and 166,191.91 is: 229,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,012.38 : 419,537.18 = 166,191.91 : x
  2. Step 2: Convert to fraction form
    304,012.38/419,537.18 = 166,191.91/x
  3. Step 3: Cross multiply
    304,012.38x = 419,537.18 × 166,191.91
  4. Step 4: Simplify right side
    304,012.38x = 69,723,683,692.02
  5. Step 5: Solve for x
    x = 69,723,683,692.02/304,012.38
  6. Step 6: Final answer
    x = 229,344.88

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Why These Related Problems?

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