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Finding the Fourth Proportional to 198,209.38, 273,439.65 and 117,640.30

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Solution

The fourth proportional to 198,209.38, 273,439.65 and 117,640.30 is: 162,290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,209.38 : 273,439.65 = 117,640.30 : x
  2. Step 2: Convert to fraction form
    198,209.38/273,439.65 = 117,640.30/x
  3. Step 3: Cross multiply
    198,209.38x = 273,439.65 × 117,640.30
  4. Step 4: Simplify right side
    198,209.38x = 32,167,522,457.90
  5. Step 5: Solve for x
    x = 32,167,522,457.90/198,209.38
  6. Step 6: Final answer
    x = 162,290.62

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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.