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Finding the Fourth Proportional to 200,797.92, 277,107.12 and 111,372

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Solution

The fourth proportional to 200,797.92, 277,107.12 and 111,372 is: 153,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,797.92 : 277,107.12 = 111,372 : x
  2. Step 2: Convert to fraction form
    200,797.92/277,107.12 = 111,372/x
  3. Step 3: Cross multiply
    200,797.92x = 277,107.12 × 111,372
  4. Step 4: Simplify right side
    200,797.92x = 30,861,974,168.64
  5. Step 5: Solve for x
    x = 30,861,974,168.64/200,797.92
  6. Step 6: Final answer
    x = 153,696.68

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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.