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Finding the Fourth Proportional to 198,344.82, 297,536.13 and 65,226.18

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Solution

The fourth proportional to 198,344.82, 297,536.13 and 65,226.18 is: 97,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,344.82 : 297,536.13 = 65,226.18 : x
  2. Step 2: Convert to fraction form
    198,344.82/297,536.13 = 65,226.18/x
  3. Step 3: Cross multiply
    198,344.82x = 297,536.13 × 65,226.18
  4. Step 4: Simplify right side
    198,344.82x = 19,407,145,171.88
  5. Step 5: Solve for x
    x = 19,407,145,171.88/198,344.82
  6. Step 6: Final answer
    x = 97,845.49

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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.