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Finding the Fourth Proportional to 278,275.12, 384,016.52 and 157,414.48

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Solution

The fourth proportional to 278,275.12, 384,016.52 and 157,414.48 is: 217,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,275.12 : 384,016.52 = 157,414.48 : x
  2. Step 2: Convert to fraction form
    278,275.12/384,016.52 = 157,414.48/x
  3. Step 3: Cross multiply
    278,275.12x = 384,016.52 × 157,414.48
  4. Step 4: Simplify right side
    278,275.12x = 60,449,760,807.21
  5. Step 5: Solve for x
    x = 60,449,760,807.21/278,275.12
  6. Step 6: Final answer
    x = 217,230.20

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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.