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Finding the Fourth Proportional to 274,640.14, 412,018.99 and 85,096.29

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Solution

The fourth proportional to 274,640.14, 412,018.99 and 85,096.29 is: 127,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,640.14 : 412,018.99 = 85,096.29 : x
  2. Step 2: Convert to fraction form
    274,640.14/412,018.99 = 85,096.29/x
  3. Step 3: Cross multiply
    274,640.14x = 412,018.99 × 85,096.29
  4. Step 4: Simplify right side
    274,640.14x = 35,061,287,458.55
  5. Step 5: Solve for x
    x = 35,061,287,458.55/274,640.14
  6. Step 6: Final answer
    x = 127,662.65

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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.