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Finding the Fourth Proportional to 200,871.74, 277,202.24 and 110,229.22

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Solution

The fourth proportional to 200,871.74, 277,202.24 and 110,229.22 is: 152,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,871.74 : 277,202.24 = 110,229.22 : x
  2. Step 2: Convert to fraction form
    200,871.74/277,202.24 = 110,229.22/x
  3. Step 3: Cross multiply
    200,871.74x = 277,202.24 × 110,229.22
  4. Step 4: Simplify right side
    200,871.74x = 30,555,786,697.45
  5. Step 5: Solve for x
    x = 30,555,786,697.45/200,871.74
  6. Step 6: Final answer
    x = 152,115.91

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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.