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Finding the Fourth Proportional to 299,835.03, 413,732.36 and 192,550.38

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Solution

The fourth proportional to 299,835.03, 413,732.36 and 192,550.38 is: 265,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,835.03 : 413,732.36 = 192,550.38 : x
  2. Step 2: Convert to fraction form
    299,835.03/413,732.36 = 192,550.38/x
  3. Step 3: Cross multiply
    299,835.03x = 413,732.36 × 192,550.38
  4. Step 4: Simplify right side
    299,835.03x = 79,664,322,173.54
  5. Step 5: Solve for x
    x = 79,664,322,173.54/299,835.03
  6. Step 6: Final answer
    x = 265,693.85

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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.