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Finding the Fourth Proportional to 219,771.92, 303,285.42 and 119,169.92

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Solution

The fourth proportional to 219,771.92, 303,285.42 and 119,169.92 is: 164,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,771.92 : 303,285.42 = 119,169.92 : x
  2. Step 2: Convert to fraction form
    219,771.92/303,285.42 = 119,169.92/x
  3. Step 3: Cross multiply
    219,771.92x = 303,285.42 × 119,169.92
  4. Step 4: Simplify right side
    219,771.92x = 36,142,499,238.57
  5. Step 5: Solve for x
    x = 36,142,499,238.57/219,771.92
  6. Step 6: Final answer
    x = 164,454.58

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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.