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Finding the Fourth Proportional to 204,550.38, 282,279.47 and 119,683.85

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Solution

The fourth proportional to 204,550.38, 282,279.47 and 119,683.85 is: 165,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,550.38 : 282,279.47 = 119,683.85 : x
  2. Step 2: Convert to fraction form
    204,550.38/282,279.47 = 119,683.85/x
  3. Step 3: Cross multiply
    204,550.38x = 282,279.47 × 119,683.85
  4. Step 4: Simplify right side
    204,550.38x = 33,784,291,735.74
  5. Step 5: Solve for x
    x = 33,784,291,735.74/204,550.38
  6. Step 6: Final answer
    x = 165,163.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.