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Finding the Fourth Proportional to 262,894.34, 394,173.06 and 111,050.16

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Solution

The fourth proportional to 262,894.34, 394,173.06 and 111,050.16 is: 166,504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,894.34 : 394,173.06 = 111,050.16 : x
  2. Step 2: Convert to fraction form
    262,894.34/394,173.06 = 111,050.16/x
  3. Step 3: Cross multiply
    262,894.34x = 394,173.06 × 111,050.16
  4. Step 4: Simplify right side
    262,894.34x = 43,772,981,380.69
  5. Step 5: Solve for x
    x = 43,772,981,380.69/262,894.34
  6. Step 6: Final answer
    x = 166,504.09

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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.