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Finding the Fourth Proportional to 288,143.30, 397,634.17 and 159,082.82

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Solution

The fourth proportional to 288,143.30, 397,634.17 and 159,082.82 is: 219,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,143.30 : 397,634.17 = 159,082.82 : x
  2. Step 2: Convert to fraction form
    288,143.30/397,634.17 = 159,082.82/x
  3. Step 3: Cross multiply
    288,143.30x = 397,634.17 × 159,082.82
  4. Step 4: Simplify right side
    288,143.30x = 63,256,765,091.96
  5. Step 5: Solve for x
    x = 63,256,765,091.96/288,143.30
  6. Step 6: Final answer
    x = 219,532.31

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