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Finding the Fourth Proportional to 181,993.80, 272,942.10 and 55,633.80

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Solution

The fourth proportional to 181,993.80, 272,942.10 and 55,633.80 is: 83,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,993.80 : 272,942.10 = 55,633.80 : x
  2. Step 2: Convert to fraction form
    181,993.80/272,942.10 = 55,633.80/x
  3. Step 3: Cross multiply
    181,993.80x = 272,942.10 × 55,633.80
  4. Step 4: Simplify right side
    181,993.80x = 15,184,806,202.98
  5. Step 5: Solve for x
    x = 15,184,806,202.98/181,993.80
  6. Step 6: Final answer
    x = 83,435.84

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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.