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Finding the Fourth Proportional to 323,082.16, 445,866.48 and 179,833.12

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Solution

The fourth proportional to 323,082.16, 445,866.48 and 179,833.12 is: 248,177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,082.16 : 445,866.48 = 179,833.12 : x
  2. Step 2: Convert to fraction form
    323,082.16/445,866.48 = 179,833.12/x
  3. Step 3: Cross multiply
    323,082.16x = 445,866.48 × 179,833.12
  4. Step 4: Simplify right side
    323,082.16x = 80,181,560,201.82
  5. Step 5: Solve for x
    x = 80,181,560,201.82/323,082.16
  6. Step 6: Final answer
    x = 248,177.00

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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.