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Finding the Fourth Proportional to 278,280.26, 384,026.89 and 157,418.97

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Solution

The fourth proportional to 278,280.26, 384,026.89 and 157,418.97 is: 217,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,280.26 : 384,026.89 = 157,418.97 : x
  2. Step 2: Convert to fraction form
    278,280.26/384,026.89 = 157,418.97/x
  3. Step 3: Cross multiply
    278,280.26x = 384,026.89 × 157,418.97
  4. Step 4: Simplify right side
    278,280.26x = 60,453,119,177.84
  5. Step 5: Solve for x
    x = 60,453,119,177.84/278,280.26
  6. Step 6: Final answer
    x = 217,238.26

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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.