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Finding the Fourth Proportional to 200,865.75, 277,324.59 and 124,465.92

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Solution

The fourth proportional to 200,865.75, 277,324.59 and 124,465.92 is: 171,843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,865.75 : 277,324.59 = 124,465.92 : x
  2. Step 2: Convert to fraction form
    200,865.75/277,324.59 = 124,465.92/x
  3. Step 3: Cross multiply
    200,865.75x = 277,324.59 × 124,465.92
  4. Step 4: Simplify right side
    200,865.75x = 34,517,461,272.94
  5. Step 5: Solve for x
    x = 34,517,461,272.94/200,865.75
  6. Step 6: Final answer
    x = 171,843.44

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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.