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Finding the Fourth Proportional to 133,491.65, 200,311.79 and 54,661.23

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Solution

The fourth proportional to 133,491.65, 200,311.79 and 54,661.23 is: 82,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,491.65 : 200,311.79 = 54,661.23 : x
  2. Step 2: Convert to fraction form
    133,491.65/200,311.79 = 54,661.23/x
  3. Step 3: Cross multiply
    133,491.65x = 200,311.79 × 54,661.23
  4. Step 4: Simplify right side
    133,491.65x = 10,949,288,551.60
  5. Step 5: Solve for x
    x = 10,949,288,551.60/133,491.65
  6. Step 6: Final answer
    x = 82,022.28

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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.