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Finding the Fourth Proportional to 198,193.88, 297,179.32 and 65,062.96

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Solution

The fourth proportional to 198,193.88, 297,179.32 and 65,062.96 is: 97,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,193.88 : 297,179.32 = 65,062.96 : x
  2. Step 2: Convert to fraction form
    198,193.88/297,179.32 = 65,062.96/x
  3. Step 3: Cross multiply
    198,193.88x = 297,179.32 × 65,062.96
  4. Step 4: Simplify right side
    198,193.88x = 19,335,366,209.99
  5. Step 5: Solve for x
    x = 19,335,366,209.99/198,193.88
  6. Step 6: Final answer
    x = 97,557.84

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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.