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Finding the Fourth Proportional to 161,608.53, 242,082.32 and 131,729.25

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Solution

The fourth proportional to 161,608.53, 242,082.32 and 131,729.25 is: 197,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,608.53 : 242,082.32 = 131,729.25 : x
  2. Step 2: Convert to fraction form
    161,608.53/242,082.32 = 131,729.25/x
  3. Step 3: Cross multiply
    161,608.53x = 242,082.32 × 131,729.25
  4. Step 4: Simplify right side
    161,608.53x = 31,889,321,793.21
  5. Step 5: Solve for x
    x = 31,889,321,793.21/161,608.53
  6. Step 6: Final answer
    x = 197,324.50

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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.