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Finding the Fourth Proportional to 200,905.75, 277,249.98 and 111,481.75

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Solution

The fourth proportional to 200,905.75, 277,249.98 and 111,481.75 is: 153,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,905.75 : 277,249.98 = 111,481.75 : x
  2. Step 2: Convert to fraction form
    200,905.75/277,249.98 = 111,481.75/x
  3. Step 3: Cross multiply
    200,905.75x = 277,249.98 × 111,481.75
  4. Step 4: Simplify right side
    200,905.75x = 30,908,312,957.87
  5. Step 5: Solve for x
    x = 30,908,312,957.87/200,905.75
  6. Step 6: Final answer
    x = 153,844.84

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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.