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Finding the Fourth Proportional to 198,157.31, 297,173.53 and 65,006.54

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Solution

The fourth proportional to 198,157.31, 297,173.53 and 65,006.54 is: 97,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,157.31 : 297,173.53 = 65,006.54 : x
  2. Step 2: Convert to fraction form
    198,157.31/297,173.53 = 65,006.54/x
  3. Step 3: Cross multiply
    198,157.31x = 297,173.53 × 65,006.54
  4. Step 4: Simplify right side
    198,157.31x = 19,318,223,789.08
  5. Step 5: Solve for x
    x = 19,318,223,789.08/198,157.31
  6. Step 6: Final answer
    x = 97,489.33

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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.