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Finding the Fourth Proportional to 200,167.28, 276,198.36 and 110,726

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Solution

The fourth proportional to 200,167.28, 276,198.36 and 110,726 is: 152,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,167.28 : 276,198.36 = 110,726 : x
  2. Step 2: Convert to fraction form
    200,167.28/276,198.36 = 110,726/x
  3. Step 3: Cross multiply
    200,167.28x = 276,198.36 × 110,726
  4. Step 4: Simplify right side
    200,167.28x = 30,582,339,609.36
  5. Step 5: Solve for x
    x = 30,582,339,609.36/200,167.28
  6. Step 6: Final answer
    x = 152,783.91

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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.