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Finding the Fourth Proportional to 278,875.86, 384,817.38 and 157,991.26

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Solution

The fourth proportional to 278,875.86, 384,817.38 and 157,991.26 is: 218,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,875.86 : 384,817.38 = 157,991.26 : x
  2. Step 2: Convert to fraction form
    278,875.86/384,817.38 = 157,991.26/x
  3. Step 3: Cross multiply
    278,875.86x = 384,817.38 × 157,991.26
  4. Step 4: Simplify right side
    278,875.86x = 60,797,782,736.10
  5. Step 5: Solve for x
    x = 60,797,782,736.10/278,875.86
  6. Step 6: Final answer
    x = 218,010.20

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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.