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Finding the Fourth Proportional to 133,728, 200,601.72 and 50,622

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Solution

The fourth proportional to 133,728, 200,601.72 and 50,622 is: 75,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,728 : 200,601.72 = 50,622 : x
  2. Step 2: Convert to fraction form
    133,728/200,601.72 = 50,622/x
  3. Step 3: Cross multiply
    133,728x = 200,601.72 × 50,622
  4. Step 4: Simplify right side
    133,728x = 10,154,860,269.84
  5. Step 5: Solve for x
    x = 10,154,860,269.84/133,728
  6. Step 6: Final answer
    x = 75,936.68

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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.