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Finding the Fourth Proportional to 200,961.73, 300,980.49 and 112,018.26

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Solution

The fourth proportional to 200,961.73, 300,980.49 and 112,018.26 is: 167,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,961.73 : 300,980.49 = 112,018.26 : x
  2. Step 2: Convert to fraction form
    200,961.73/300,980.49 = 112,018.26/x
  3. Step 3: Cross multiply
    200,961.73x = 300,980.49 × 112,018.26
  4. Step 4: Simplify right side
    200,961.73x = 33,715,310,783.75
  5. Step 5: Solve for x
    x = 33,715,310,783.75/200,961.73
  6. Step 6: Final answer
    x = 167,769.81

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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.