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Finding the Fourth Proportional to 244,993, 367,489.50 and 78,781

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Solution

The fourth proportional to 244,993, 367,489.50 and 78,781 is: 118,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,993 : 367,489.50 = 78,781 : x
  2. Step 2: Convert to fraction form
    244,993/367,489.50 = 78,781/x
  3. Step 3: Cross multiply
    244,993x = 367,489.50 × 78,781
  4. Step 4: Simplify right side
    244,993x = 28,951,190,299.50
  5. Step 5: Solve for x
    x = 28,951,190,299.50/244,993
  6. Step 6: Final answer
    x = 118,171.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.