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Finding the Fourth Proportional to 198,414, 297,309.84 and 168,709.68

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Solution

The fourth proportional to 198,414, 297,309.84 and 168,709.68 is: 252,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,414 : 297,309.84 = 168,709.68 : x
  2. Step 2: Convert to fraction form
    198,414/297,309.84 = 168,709.68/x
  3. Step 3: Cross multiply
    198,414x = 297,309.84 × 168,709.68
  4. Step 4: Simplify right side
    198,414x = 50,159,047,967.25
  5. Step 5: Solve for x
    x = 50,159,047,967.25/198,414
  6. Step 6: Final answer
    x = 252,799.94

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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.