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Finding the Fourth Proportional to 134,729.73, 202,098.24 and 33,523.72

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Solution

The fourth proportional to 134,729.73, 202,098.24 and 33,523.72 is: 50,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,729.73 : 202,098.24 = 33,523.72 : x
  2. Step 2: Convert to fraction form
    134,729.73/202,098.24 = 33,523.72/x
  3. Step 3: Cross multiply
    134,729.73x = 202,098.24 × 33,523.72
  4. Step 4: Simplify right side
    134,729.73x = 6,775,085,441.81
  5. Step 5: Solve for x
    x = 6,775,085,441.81/134,729.73
  6. Step 6: Final answer
    x = 50,286.49

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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.