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Finding the Fourth Proportional to 200,698.38, 300,603.42 and 82,009.62

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Solution

The fourth proportional to 200,698.38, 300,603.42 and 82,009.62 is: 122,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,698.38 : 300,603.42 = 82,009.62 : x
  2. Step 2: Convert to fraction form
    200,698.38/300,603.42 = 82,009.62/x
  3. Step 3: Cross multiply
    200,698.38x = 300,603.42 × 82,009.62
  4. Step 4: Simplify right side
    200,698.38x = 24,652,372,244.90
  5. Step 5: Solve for x
    x = 24,652,372,244.90/200,698.38
  6. Step 6: Final answer
    x = 122,832.94

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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.