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Finding the Fourth Proportional to 274,906.60, 412,119.90 and 106,541.80

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Solution

The fourth proportional to 274,906.60, 412,119.90 and 106,541.80 is: 159,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,906.60 : 412,119.90 = 106,541.80 : x
  2. Step 2: Convert to fraction form
    274,906.60/412,119.90 = 106,541.80/x
  3. Step 3: Cross multiply
    274,906.60x = 412,119.90 × 106,541.80
  4. Step 4: Simplify right side
    274,906.60x = 43,907,995,961.82
  5. Step 5: Solve for x
    x = 43,907,995,961.82/274,906.60
  6. Step 6: Final answer
    x = 159,719.69

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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.