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Finding the Fourth Proportional to 278,633.20, 384,507.31 and 163,919.23

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Solution

The fourth proportional to 278,633.20, 384,507.31 and 163,919.23 is: 226,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,633.20 : 384,507.31 = 163,919.23 : x
  2. Step 2: Convert to fraction form
    278,633.20/384,507.31 = 163,919.23/x
  3. Step 3: Cross multiply
    278,633.20x = 384,507.31 × 163,919.23
  4. Step 4: Simplify right side
    278,633.20x = 63,028,142,184.57
  5. Step 5: Solve for x
    x = 63,028,142,184.57/278,633.20
  6. Step 6: Final answer
    x = 226,204.71

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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.