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Finding the Fourth Proportional to 133,813.16, 200,544.78 and 54,834.92

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Solution

The fourth proportional to 133,813.16, 200,544.78 and 54,834.92 is: 82,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,813.16 : 200,544.78 = 54,834.92 : x
  2. Step 2: Convert to fraction form
    133,813.16/200,544.78 = 54,834.92/x
  3. Step 3: Cross multiply
    133,813.16x = 200,544.78 × 54,834.92
  4. Step 4: Simplify right side
    133,813.16x = 10,996,856,967.72
  5. Step 5: Solve for x
    x = 10,996,856,967.72/133,813.16
  6. Step 6: Final answer
    x = 82,180.68

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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.