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Finding the Fourth Proportional to 198,758.41, 298,233.26 and 98,927.33

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Solution

The fourth proportional to 198,758.41, 298,233.26 and 98,927.33 is: 148,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,758.41 : 298,233.26 = 98,927.33 : x
  2. Step 2: Convert to fraction form
    198,758.41/298,233.26 = 98,927.33/x
  3. Step 3: Cross multiply
    198,758.41x = 298,233.26 × 98,927.33
  4. Step 4: Simplify right side
    198,758.41x = 29,503,418,514.17
  5. Step 5: Solve for x
    x = 29,503,418,514.17/198,758.41
  6. Step 6: Final answer
    x = 148,438.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.