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Finding the Fourth Proportional to 200,942.92, 277,299.93 and 110,296.54

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Solution

The fourth proportional to 200,942.92, 277,299.93 and 110,296.54 is: 152,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,942.92 : 277,299.93 = 110,296.54 : x
  2. Step 2: Convert to fraction form
    200,942.92/277,299.93 = 110,296.54/x
  3. Step 3: Cross multiply
    200,942.92x = 277,299.93 × 110,296.54
  4. Step 4: Simplify right side
    200,942.92x = 30,585,222,821.24
  5. Step 5: Solve for x
    x = 30,585,222,821.24/200,942.92
  6. Step 6: Final answer
    x = 152,208.51

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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.