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Finding the Fourth Proportional to 198,394.50, 297,590.12 and 80,064.03

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Solution

The fourth proportional to 198,394.50, 297,590.12 and 80,064.03 is: 120,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,394.50 : 297,590.12 = 80,064.03 : x
  2. Step 2: Convert to fraction form
    198,394.50/297,590.12 = 80,064.03/x
  3. Step 3: Cross multiply
    198,394.50x = 297,590.12 × 80,064.03
  4. Step 4: Simplify right side
    198,394.50x = 23,826,264,295.38
  5. Step 5: Solve for x
    x = 23,826,264,295.38/198,394.50
  6. Step 6: Final answer
    x = 120,095.39

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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.