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Finding the Fourth Proportional to 200,297.43, 300,165.89 and 116,035.16

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Solution

The fourth proportional to 200,297.43, 300,165.89 and 116,035.16 is: 173,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,297.43 : 300,165.89 = 116,035.16 : x
  2. Step 2: Convert to fraction form
    200,297.43/300,165.89 = 116,035.16/x
  3. Step 3: Cross multiply
    200,297.43x = 300,165.89 × 116,035.16
  4. Step 4: Simplify right side
    200,297.43x = 34,829,794,991.69
  5. Step 5: Solve for x
    x = 34,829,794,991.69/200,297.43
  6. Step 6: Final answer
    x = 173,890.37

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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.