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Finding the Fourth Proportional to 200,012.24, 276,016.20 and 110,588.24

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Solution

The fourth proportional to 200,012.24, 276,016.20 and 110,588.24 is: 152,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,012.24 : 276,016.20 = 110,588.24 : x
  2. Step 2: Convert to fraction form
    200,012.24/276,016.20 = 110,588.24/x
  3. Step 3: Cross multiply
    200,012.24x = 276,016.20 × 110,588.24
  4. Step 4: Simplify right side
    200,012.24x = 30,524,145,769.49
  5. Step 5: Solve for x
    x = 30,524,145,769.49/200,012.24
  6. Step 6: Final answer
    x = 152,611.39

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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.