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Finding the Fourth Proportional to 198,366.23, 297,593.08 and 65,241.11

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Solution

The fourth proportional to 198,366.23, 297,593.08 and 65,241.11 is: 97,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,366.23 : 297,593.08 = 65,241.11 : x
  2. Step 2: Convert to fraction form
    198,366.23/297,593.08 = 65,241.11/x
  3. Step 3: Cross multiply
    198,366.23x = 297,593.08 × 65,241.11
  4. Step 4: Simplify right side
    198,366.23x = 19,415,302,867.52
  5. Step 5: Solve for x
    x = 19,415,302,867.52/198,366.23
  6. Step 6: Final answer
    x = 97,876.05

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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.