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Finding the Fourth Proportional to 198,911.34, 298,129.67 and 138,613.18

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Solution

The fourth proportional to 198,911.34, 298,129.67 and 138,613.18 is: 207,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,911.34 : 298,129.67 = 138,613.18 : x
  2. Step 2: Convert to fraction form
    198,911.34/298,129.67 = 138,613.18/x
  3. Step 3: Cross multiply
    198,911.34x = 298,129.67 × 138,613.18
  4. Step 4: Simplify right side
    198,911.34x = 41,324,702,702.91
  5. Step 5: Solve for x
    x = 41,324,702,702.91/198,911.34
  6. Step 6: Final answer
    x = 207,754.39

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