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Finding the Fourth Proportional to 200,872.92, 301,309.38 and 76,213.92

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Solution

The fourth proportional to 200,872.92, 301,309.38 and 76,213.92 is: 114,320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,872.92 : 301,309.38 = 76,213.92 : x
  2. Step 2: Convert to fraction form
    200,872.92/301,309.38 = 76,213.92/x
  3. Step 3: Cross multiply
    200,872.92x = 301,309.38 × 76,213.92
  4. Step 4: Simplify right side
    200,872.92x = 22,963,968,982.57
  5. Step 5: Solve for x
    x = 22,963,968,982.57/200,872.92
  6. Step 6: Final answer
    x = 114,320.88

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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.