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Finding the Fourth Proportional to 198,338.23, 297,551.08 and 65,213.11

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Solution

The fourth proportional to 198,338.23, 297,551.08 and 65,213.11 is: 97,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,338.23 : 297,551.08 = 65,213.11 : x
  2. Step 2: Convert to fraction form
    198,338.23/297,551.08 = 65,213.11/x
  3. Step 3: Cross multiply
    198,338.23x = 297,551.08 × 65,213.11
  4. Step 4: Simplify right side
    198,338.23x = 19,404,229,822.90
  5. Step 5: Solve for x
    x = 19,404,229,822.90/198,338.23
  6. Step 6: Final answer
    x = 97,834.04

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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.