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Finding the Fourth Proportional to 200,844.57, 300,983.67 and 110,927.82

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Solution

The fourth proportional to 200,844.57, 300,983.67 and 110,927.82 is: 166,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,844.57 : 300,983.67 = 110,927.82 : x
  2. Step 2: Convert to fraction form
    200,844.57/300,983.67 = 110,927.82/x
  3. Step 3: Cross multiply
    200,844.57x = 300,983.67 × 110,927.82
  4. Step 4: Simplify right side
    200,844.57x = 33,387,462,368.70
  5. Step 5: Solve for x
    x = 33,387,462,368.70/200,844.57
  6. Step 6: Final answer
    x = 166,235.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.