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Finding the Fourth Proportional to 203,512.49, 280,845.73 and 111,633.88

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Solution

The fourth proportional to 203,512.49, 280,845.73 and 111,633.88 is: 154,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,512.49 : 280,845.73 = 111,633.88 : x
  2. Step 2: Convert to fraction form
    203,512.49/280,845.73 = 111,633.88/x
  3. Step 3: Cross multiply
    203,512.49x = 280,845.73 × 111,633.88
  4. Step 4: Simplify right side
    203,512.49x = 31,351,898,521.33
  5. Step 5: Solve for x
    x = 31,351,898,521.33/203,512.49
  6. Step 6: Final answer
    x = 154,053.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.