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Finding the Fourth Proportional to 278,351.96, 384,125.64 and 157,490.84

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Solution

The fourth proportional to 278,351.96, 384,125.64 and 157,490.84 is: 217,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,351.96 : 384,125.64 = 157,490.84 : x
  2. Step 2: Convert to fraction form
    278,351.96/384,125.64 = 157,490.84/x
  3. Step 3: Cross multiply
    278,351.96x = 384,125.64 × 157,490.84
  4. Step 4: Simplify right side
    278,351.96x = 60,496,269,709.14
  5. Step 5: Solve for x
    x = 60,496,269,709.14/278,351.96
  6. Step 6: Final answer
    x = 217,337.32

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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.