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Finding the Fourth Proportional to 200,865.88, 277,324.76 and 124,466.05

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Solution

The fourth proportional to 200,865.88, 277,324.76 and 124,466.05 is: 171,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,865.88 : 277,324.76 = 124,466.05 : x
  2. Step 2: Convert to fraction form
    200,865.88/277,324.76 = 124,466.05/x
  3. Step 3: Cross multiply
    200,865.88x = 277,324.76 × 124,466.05
  4. Step 4: Simplify right side
    200,865.88x = 34,517,517,062.25
  5. Step 5: Solve for x
    x = 34,517,517,062.25/200,865.88
  6. Step 6: Final answer
    x = 171,843.61

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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.