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Finding the Fourth Proportional to 204,801.92, 282,632.64 and 119,911.04

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Solution

The fourth proportional to 204,801.92, 282,632.64 and 119,911.04 is: 165,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,801.92 : 282,632.64 = 119,911.04 : x
  2. Step 2: Convert to fraction form
    204,801.92/282,632.64 = 119,911.04/x
  3. Step 3: Cross multiply
    204,801.92x = 282,632.64 × 119,911.04
  4. Step 4: Simplify right side
    204,801.92x = 33,890,773,800.35
  5. Step 5: Solve for x
    x = 33,890,773,800.35/204,801.92
  6. Step 6: Final answer
    x = 165,480.74

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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.