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Finding the Fourth Proportional to 197,593.48, 296,321.10 and 85,243.24

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Solution

The fourth proportional to 197,593.48, 296,321.10 and 85,243.24 is: 127,835.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,593.48 : 296,321.10 = 85,243.24 : x
  2. Step 2: Convert to fraction form
    197,593.48/296,321.10 = 85,243.24/x
  3. Step 3: Cross multiply
    197,593.48x = 296,321.10 × 85,243.24
  4. Step 4: Simplify right side
    197,593.48x = 25,259,370,644.36
  5. Step 5: Solve for x
    x = 25,259,370,644.36/197,593.48
  6. Step 6: Final answer
    x = 127,835.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.