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Finding the Fourth Proportional to 200,662.35, 300,896.33 and 111,821.55

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Solution

The fourth proportional to 200,662.35, 300,896.33 and 111,821.55 is: 167,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,662.35 : 300,896.33 = 111,821.55 : x
  2. Step 2: Convert to fraction form
    200,662.35/300,896.33 = 111,821.55/x
  3. Step 3: Cross multiply
    200,662.35x = 300,896.33 × 111,821.55
  4. Step 4: Simplify right side
    200,662.35x = 33,646,693,450.80
  5. Step 5: Solve for x
    x = 33,646,693,450.80/200,662.35
  6. Step 6: Final answer
    x = 167,678.16

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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.