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Finding the Fourth Proportional to 198,232.72, 297,380.06 and 65,082.69

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Solution

The fourth proportional to 198,232.72, 297,380.06 and 65,082.69 is: 97,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,232.72 : 297,380.06 = 65,082.69 : x
  2. Step 2: Convert to fraction form
    198,232.72/297,380.06 = 65,082.69/x
  3. Step 3: Cross multiply
    198,232.72x = 297,380.06 × 65,082.69
  4. Step 4: Simplify right side
    198,232.72x = 19,354,294,175.81
  5. Step 5: Solve for x
    x = 19,354,294,175.81/198,232.72
  6. Step 6: Final answer
    x = 97,634.21

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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.