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Finding the Fourth Proportional to 181,163.82, 270,525.78 and 147,949.77

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Solution

The fourth proportional to 181,163.82, 270,525.78 and 147,949.77 is: 220,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,163.82 : 270,525.78 = 147,949.77 : x
  2. Step 2: Convert to fraction form
    181,163.82/270,525.78 = 147,949.77/x
  3. Step 3: Cross multiply
    181,163.82x = 270,525.78 × 147,949.77
  4. Step 4: Simplify right side
    181,163.82x = 40,024,226,930.07
  5. Step 5: Solve for x
    x = 40,024,226,930.07/181,163.82
  6. Step 6: Final answer
    x = 220,928.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.