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Finding the Fourth Proportional to 262,893.84, 394,172.31 and 111,049.66

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Solution

The fourth proportional to 262,893.84, 394,172.31 and 111,049.66 is: 166,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,893.84 : 394,172.31 = 111,049.66 : x
  2. Step 2: Convert to fraction form
    262,893.84/394,172.31 = 111,049.66/x
  3. Step 3: Cross multiply
    262,893.84x = 394,172.31 × 111,049.66
  4. Step 4: Simplify right side
    262,893.84x = 43,772,701,006.91
  5. Step 5: Solve for x
    x = 43,772,701,006.91/262,893.84
  6. Step 6: Final answer
    x = 166,503.33

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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.