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Finding the Fourth Proportional to 198,882.72, 298,314.36 and 74,214

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Solution

The fourth proportional to 198,882.72, 298,314.36 and 74,214 is: 111,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,882.72 : 298,314.36 = 74,214 : x
  2. Step 2: Convert to fraction form
    198,882.72/298,314.36 = 74,214/x
  3. Step 3: Cross multiply
    198,882.72x = 298,314.36 × 74,214
  4. Step 4: Simplify right side
    198,882.72x = 22,139,101,913.04
  5. Step 5: Solve for x
    x = 22,139,101,913.04/198,882.72
  6. Step 6: Final answer
    x = 111,317.37

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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.