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Finding the Fourth Proportional to 133,681.70, 200,522.55 and 82,943.30

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Solution

The fourth proportional to 133,681.70, 200,522.55 and 82,943.30 is: 124,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,681.70 : 200,522.55 = 82,943.30 : x
  2. Step 2: Convert to fraction form
    133,681.70/200,522.55 = 82,943.30/x
  3. Step 3: Cross multiply
    133,681.70x = 200,522.55 × 82,943.30
  4. Step 4: Simplify right side
    133,681.70x = 16,632,002,021.42
  5. Step 5: Solve for x
    x = 16,632,002,021.42/133,681.70
  6. Step 6: Final answer
    x = 124,414.95

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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.