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Finding the Fourth Proportional to 198,357.84, 297,268.92 and 92,941.20

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Solution

The fourth proportional to 198,357.84, 297,268.92 and 92,941.20 is: 139,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,357.84 : 297,268.92 = 92,941.20 : x
  2. Step 2: Convert to fraction form
    198,357.84/297,268.92 = 92,941.20/x
  3. Step 3: Cross multiply
    198,357.84x = 297,268.92 × 92,941.20
  4. Step 4: Simplify right side
    198,357.84x = 27,628,530,147.50
  5. Step 5: Solve for x
    x = 27,628,530,147.50/198,357.84
  6. Step 6: Final answer
    x = 139,286.30

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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.