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Finding the Fourth Proportional to 198,209.70, 273,348.54 and 130,199.40

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Solution

The fourth proportional to 198,209.70, 273,348.54 and 130,199.40 is: 179,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,209.70 : 273,348.54 = 130,199.40 : x
  2. Step 2: Convert to fraction form
    198,209.70/273,348.54 = 130,199.40/x
  3. Step 3: Cross multiply
    198,209.70x = 273,348.54 × 130,199.40
  4. Step 4: Simplify right side
    198,209.70x = 35,589,815,898.88
  5. Step 5: Solve for x
    x = 35,589,815,898.88/198,209.70
  6. Step 6: Final answer
    x = 179,556.38

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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.