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Finding the Fourth Proportional to 192,083.40, 287,882.10 and 73,596.60

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Solution

The fourth proportional to 192,083.40, 287,882.10 and 73,596.60 is: 110,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,083.40 : 287,882.10 = 73,596.60 : x
  2. Step 2: Convert to fraction form
    192,083.40/287,882.10 = 73,596.60/x
  3. Step 3: Cross multiply
    192,083.40x = 287,882.10 × 73,596.60
  4. Step 4: Simplify right side
    192,083.40x = 21,187,143,760.86
  5. Step 5: Solve for x
    x = 21,187,143,760.86/192,083.40
  6. Step 6: Final answer
    x = 110,301.79

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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.