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Finding the Fourth Proportional to 182,022.80, 273,034.20 and 55,662.80

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Solution

The fourth proportional to 182,022.80, 273,034.20 and 55,662.80 is: 83,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,022.80 : 273,034.20 = 55,662.80 : x
  2. Step 2: Convert to fraction form
    182,022.80/273,034.20 = 55,662.80/x
  3. Step 3: Cross multiply
    182,022.80x = 273,034.20 × 55,662.80
  4. Step 4: Simplify right side
    182,022.80x = 15,197,848,067.76
  5. Step 5: Solve for x
    x = 15,197,848,067.76/182,022.80
  6. Step 6: Final answer
    x = 83,494.20

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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.