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Finding the Fourth Proportional to 286,037, 394,749.92 and 165,183.36

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Solution

The fourth proportional to 286,037, 394,749.92 and 165,183.36 is: 227,963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,037 : 394,749.92 = 165,183.36 : x
  2. Step 2: Convert to fraction form
    286,037/394,749.92 = 165,183.36/x
  3. Step 3: Cross multiply
    286,037x = 394,749.92 × 165,183.36
  4. Step 4: Simplify right side
    286,037x = 65,206,118,145.33
  5. Step 5: Solve for x
    x = 65,206,118,145.33/286,037
  6. Step 6: Final answer
    x = 227,963.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.