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Finding the Fourth Proportional to 200,961.28, 277,319.39 and 113,744.51

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Solution

The fourth proportional to 200,961.28, 277,319.39 and 113,744.51 is: 156,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,961.28 : 277,319.39 = 113,744.51 : x
  2. Step 2: Convert to fraction form
    200,961.28/277,319.39 = 113,744.51/x
  3. Step 3: Cross multiply
    200,961.28x = 277,319.39 × 113,744.51
  4. Step 4: Simplify right side
    200,961.28x = 31,543,558,313.54
  5. Step 5: Solve for x
    x = 31,543,558,313.54/200,961.28
  6. Step 6: Final answer
    x = 156,963.36

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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.