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Finding the Fourth Proportional to 311,792.09, 467,338.21 and 154,131.26

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Solution

The fourth proportional to 311,792.09, 467,338.21 and 154,131.26 is: 231,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,792.09 : 467,338.21 = 154,131.26 : x
  2. Step 2: Convert to fraction form
    311,792.09/467,338.21 = 154,131.26/x
  3. Step 3: Cross multiply
    311,792.09x = 467,338.21 × 154,131.26
  4. Step 4: Simplify right side
    311,792.09x = 72,031,424,431.43
  5. Step 5: Solve for x
    x = 72,031,424,431.43/311,792.09
  6. Step 6: Final answer
    x = 231,023.90

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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.