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Finding the Fourth Proportional to 272,047.14, 408,139.83 and 159,822.24

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Solution

The fourth proportional to 272,047.14, 408,139.83 and 159,822.24 is: 239,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,047.14 : 408,139.83 = 159,822.24 : x
  2. Step 2: Convert to fraction form
    272,047.14/408,139.83 = 159,822.24/x
  3. Step 3: Cross multiply
    272,047.14x = 408,139.83 × 159,822.24
  4. Step 4: Simplify right side
    272,047.14x = 65,229,821,863.82
  5. Step 5: Solve for x
    x = 65,229,821,863.82/272,047.14
  6. Step 6: Final answer
    x = 239,773.97

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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.