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Finding the Fourth Proportional to 274,735.72, 412,162.53 and 85,192.02

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Solution

The fourth proportional to 274,735.72, 412,162.53 and 85,192.02 is: 127,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,735.72 : 412,162.53 = 85,192.02 : x
  2. Step 2: Convert to fraction form
    274,735.72/412,162.53 = 85,192.02/x
  3. Step 3: Cross multiply
    274,735.72x = 412,162.53 × 85,192.02
  4. Step 4: Simplify right side
    274,735.72x = 35,112,959,588.05
  5. Step 5: Solve for x
    x = 35,112,959,588.05/274,735.72
  6. Step 6: Final answer
    x = 127,806.31

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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.