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Finding the Fourth Proportional to 262,998.82, 394,333.87 and 111,117.83

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Solution

The fourth proportional to 262,998.82, 394,333.87 and 111,117.83 is: 166,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,998.82 : 394,333.87 = 111,117.83 : x
  2. Step 2: Convert to fraction form
    262,998.82/394,333.87 = 111,117.83/x
  3. Step 3: Cross multiply
    262,998.82x = 394,333.87 × 111,117.83
  4. Step 4: Simplify right side
    262,998.82x = 43,817,521,888.78
  5. Step 5: Solve for x
    x = 43,817,521,888.78/262,998.82
  6. Step 6: Final answer
    x = 166,607.29

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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.