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Finding the Fourth Proportional to 133,474.85, 200,229.89 and 49,294.18

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Solution

The fourth proportional to 133,474.85, 200,229.89 and 49,294.18 is: 73,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,474.85 : 200,229.89 = 49,294.18 : x
  2. Step 2: Convert to fraction form
    133,474.85/200,229.89 = 49,294.18/x
  3. Step 3: Cross multiply
    133,474.85x = 200,229.89 × 49,294.18
  4. Step 4: Simplify right side
    133,474.85x = 9,870,167,491.99
  5. Step 5: Solve for x
    x = 9,870,167,491.99/133,474.85
  6. Step 6: Final answer
    x = 73,947.77

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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.