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Finding the Fourth Proportional to 198,205.88, 273,434.82 and 117,636.80

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Solution

The fourth proportional to 198,205.88, 273,434.82 and 117,636.80 is: 162,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,205.88 : 273,434.82 = 117,636.80 : x
  2. Step 2: Convert to fraction form
    198,205.88/273,434.82 = 117,636.80/x
  3. Step 3: Cross multiply
    198,205.88x = 273,434.82 × 117,636.80
  4. Step 4: Simplify right side
    198,205.88x = 32,165,997,233.38
  5. Step 5: Solve for x
    x = 32,165,997,233.38/198,205.88
  6. Step 6: Final answer
    x = 162,285.79

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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.