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Finding the Fourth Proportional to 274,039.14, 378,222.14 and 159,353.27

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Solution

The fourth proportional to 274,039.14, 378,222.14 and 159,353.27 is: 219,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,039.14 : 378,222.14 = 159,353.27 : x
  2. Step 2: Convert to fraction form
    274,039.14/378,222.14 = 159,353.27/x
  3. Step 3: Cross multiply
    274,039.14x = 378,222.14 × 159,353.27
  4. Step 4: Simplify right side
    274,039.14x = 60,270,934,795.40
  5. Step 5: Solve for x
    x = 60,270,934,795.40/274,039.14
  6. Step 6: Final answer
    x = 219,935.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.