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Finding the Fourth Proportional to 198,223.38, 297,332.39 and 48,464.96

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Solution

The fourth proportional to 198,223.38, 297,332.39 and 48,464.96 is: 72,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,223.38 : 297,332.39 = 48,464.96 : x
  2. Step 2: Convert to fraction form
    198,223.38/297,332.39 = 48,464.96/x
  3. Step 3: Cross multiply
    198,223.38x = 297,332.39 × 48,464.96
  4. Step 4: Simplify right side
    198,223.38x = 14,410,201,022.55
  5. Step 5: Solve for x
    x = 14,410,201,022.55/198,223.38
  6. Step 6: Final answer
    x = 72,696.78

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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.