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Finding the Fourth Proportional to 198,595.89, 274,062.51 and 107,951.85

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Solution

The fourth proportional to 198,595.89, 274,062.51 and 107,951.85 is: 148,973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,595.89 : 274,062.51 = 107,951.85 : x
  2. Step 2: Convert to fraction form
    198,595.89/274,062.51 = 107,951.85/x
  3. Step 3: Cross multiply
    198,595.89x = 274,062.51 × 107,951.85
  4. Step 4: Simplify right side
    198,595.89x = 29,585,556,044.56
  5. Step 5: Solve for x
    x = 29,585,556,044.56/198,595.89
  6. Step 6: Final answer
    x = 148,973.66

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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.