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Finding the Fourth Proportional to 198,082.38, 297,144.40 and 57,841.40

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Solution

The fourth proportional to 198,082.38, 297,144.40 and 57,841.40 is: 86,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,082.38 : 297,144.40 = 57,841.40 : x
  2. Step 2: Convert to fraction form
    198,082.38/297,144.40 = 57,841.40/x
  3. Step 3: Cross multiply
    198,082.38x = 297,144.40 × 57,841.40
  4. Step 4: Simplify right side
    198,082.38x = 17,187,248,098.16
  5. Step 5: Solve for x
    x = 17,187,248,098.16/198,082.38
  6. Step 6: Final answer
    x = 86,768.18

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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.