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Finding the Fourth Proportional to 198,608.85, 297,930.29 and 56,454.66

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Solution

The fourth proportional to 198,608.85, 297,930.29 and 56,454.66 is: 84,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,608.85 : 297,930.29 = 56,454.66 : x
  2. Step 2: Convert to fraction form
    198,608.85/297,930.29 = 56,454.66/x
  3. Step 3: Cross multiply
    198,608.85x = 297,930.29 × 56,454.66
  4. Step 4: Simplify right side
    198,608.85x = 16,819,552,943.38
  5. Step 5: Solve for x
    x = 16,819,552,943.38/198,608.85
  6. Step 6: Final answer
    x = 84,686.83

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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.