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Finding the Fourth Proportional to 203,827.92, 305,796.11 and 70,707.97

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Solution

The fourth proportional to 203,827.92, 305,796.11 and 70,707.97 is: 106,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,827.92 : 305,796.11 = 70,707.97 : x
  2. Step 2: Convert to fraction form
    203,827.92/305,796.11 = 70,707.97/x
  3. Step 3: Cross multiply
    203,827.92x = 305,796.11 × 70,707.97
  4. Step 4: Simplify right side
    203,827.92x = 21,622,220,878.33
  5. Step 5: Solve for x
    x = 21,622,220,878.33/203,827.92
  6. Step 6: Final answer
    x = 106,080.76

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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.