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Finding the Fourth Proportional to 118,769.84, 177,906.92 and 71,234.24

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Solution

The fourth proportional to 118,769.84, 177,906.92 and 71,234.24 is: 106,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,769.84 : 177,906.92 = 71,234.24 : x
  2. Step 2: Convert to fraction form
    118,769.84/177,906.92 = 71,234.24/x
  3. Step 3: Cross multiply
    118,769.84x = 177,906.92 × 71,234.24
  4. Step 4: Simplify right side
    118,769.84x = 12,673,064,236.94
  5. Step 5: Solve for x
    x = 12,673,064,236.94/118,769.84
  6. Step 6: Final answer
    x = 106,702.71

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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.