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Finding the Fourth Proportional to 286,180.72, 394,947.76 and 165,327.04

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Solution

The fourth proportional to 286,180.72, 394,947.76 and 165,327.04 is: 228,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,180.72 : 394,947.76 = 165,327.04 : x
  2. Step 2: Convert to fraction form
    286,180.72/394,947.76 = 165,327.04/x
  3. Step 3: Cross multiply
    286,180.72x = 394,947.76 × 165,327.04
  4. Step 4: Simplify right side
    286,180.72x = 65,295,544,115.43
  5. Step 5: Solve for x
    x = 65,295,544,115.43/286,180.72
  6. Step 6: Final answer
    x = 228,161.93

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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.