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Finding the Fourth Proportional to 331,057.52, 456,822.16 and 195,082.64

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Solution

The fourth proportional to 331,057.52, 456,822.16 and 195,082.64 is: 269,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,057.52 : 456,822.16 = 195,082.64 : x
  2. Step 2: Convert to fraction form
    331,057.52/456,822.16 = 195,082.64/x
  3. Step 3: Cross multiply
    331,057.52x = 456,822.16 × 195,082.64
  4. Step 4: Simplify right side
    331,057.52x = 89,118,072,983.30
  5. Step 5: Solve for x
    x = 89,118,072,983.30/331,057.52
  6. Step 6: Final answer
    x = 269,192.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.