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Finding the Fourth Proportional to 133,843.17, 200,794.46 and 40,342.17

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Solution

The fourth proportional to 133,843.17, 200,794.46 and 40,342.17 is: 60,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,843.17 : 200,794.46 = 40,342.17 : x
  2. Step 2: Convert to fraction form
    133,843.17/200,794.46 = 40,342.17/x
  3. Step 3: Cross multiply
    133,843.17x = 200,794.46 × 40,342.17
  4. Step 4: Simplify right side
    133,843.17x = 8,100,484,240.38
  5. Step 5: Solve for x
    x = 8,100,484,240.38/133,843.17
  6. Step 6: Final answer
    x = 60,522.21

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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.