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Finding the Fourth Proportional to 133,823.80, 200,735.70 and 81,249.40

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Solution

The fourth proportional to 133,823.80, 200,735.70 and 81,249.40 is: 121,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,823.80 : 200,735.70 = 81,249.40 : x
  2. Step 2: Convert to fraction form
    133,823.80/200,735.70 = 81,249.40/x
  3. Step 3: Cross multiply
    133,823.80x = 200,735.70 × 81,249.40
  4. Step 4: Simplify right side
    133,823.80x = 16,309,655,183.58
  5. Step 5: Solve for x
    x = 16,309,655,183.58/133,823.80
  6. Step 6: Final answer
    x = 121,874.10

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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.