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Finding the Fourth Proportional to 299,806.31, 413,692.92 and 192,521.81

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Solution

The fourth proportional to 299,806.31, 413,692.92 and 192,521.81 is: 265,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,806.31 : 413,692.92 = 192,521.81 : x
  2. Step 2: Convert to fraction form
    299,806.31/413,692.92 = 192,521.81/x
  3. Step 3: Cross multiply
    299,806.31x = 413,692.92 × 192,521.81
  4. Step 4: Simplify right side
    299,806.31x = 79,644,910,776.82
  5. Step 5: Solve for x
    x = 79,644,910,776.82/299,806.31
  6. Step 6: Final answer
    x = 265,654.55

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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.