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Finding the Fourth Proportional to 182,286.40, 273,429.60 and 165,956.80

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Solution

The fourth proportional to 182,286.40, 273,429.60 and 165,956.80 is: 248,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,286.40 : 273,429.60 = 165,956.80 : x
  2. Step 2: Convert to fraction form
    182,286.40/273,429.60 = 165,956.80/x
  3. Step 3: Cross multiply
    182,286.40x = 273,429.60 × 165,956.80
  4. Step 4: Simplify right side
    182,286.40x = 45,377,501,441.28
  5. Step 5: Solve for x
    x = 45,377,501,441.28/182,286.40
  6. Step 6: Final answer
    x = 248,935.20

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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.