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Finding the Fourth Proportional to 299,834.66, 413,731.87 and 192,550.03

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Solution

The fourth proportional to 299,834.66, 413,731.87 and 192,550.03 is: 265,693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,834.66 : 413,731.87 = 192,550.03 : x
  2. Step 2: Convert to fraction form
    299,834.66/413,731.87 = 192,550.03/x
  3. Step 3: Cross multiply
    299,834.66x = 413,731.87 × 192,550.03
  4. Step 4: Simplify right side
    299,834.66x = 79,664,082,464.75
  5. Step 5: Solve for x
    x = 79,664,082,464.75/299,834.66
  6. Step 6: Final answer
    x = 265,693.37

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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.