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Finding the Fourth Proportional to 262,911.27, 394,208.90 and 102,796.41

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Solution

The fourth proportional to 262,911.27, 394,208.90 and 102,796.41 is: 154,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,911.27 : 394,208.90 = 102,796.41 : x
  2. Step 2: Convert to fraction form
    262,911.27/394,208.90 = 102,796.41/x
  3. Step 3: Cross multiply
    262,911.27x = 394,208.90 × 102,796.41
  4. Step 4: Simplify right side
    262,911.27x = 40,523,259,196.07
  5. Step 5: Solve for x
    x = 40,523,259,196.07/262,911.27
  6. Step 6: Final answer
    x = 154,132.83

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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.