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Finding the Fourth Proportional to 133,849.14, 200,506.01 and 80,511.68

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Solution

The fourth proportional to 133,849.14, 200,506.01 and 80,511.68 is: 120,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,849.14 : 200,506.01 = 80,511.68 : x
  2. Step 2: Convert to fraction form
    133,849.14/200,506.01 = 80,511.68/x
  3. Step 3: Cross multiply
    133,849.14x = 200,506.01 × 80,511.68
  4. Step 4: Simplify right side
    133,849.14x = 16,143,074,310.11
  5. Step 5: Solve for x
    x = 16,143,074,310.11/133,849.14
  6. Step 6: Final answer
    x = 120,606.49

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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.