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Finding the Fourth Proportional to 239,785.44, 359,733.24 and 82,013.64

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Solution

The fourth proportional to 239,785.44, 359,733.24 and 82,013.64 is: 123,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,785.44 : 359,733.24 = 82,013.64 : x
  2. Step 2: Convert to fraction form
    239,785.44/359,733.24 = 82,013.64/x
  3. Step 3: Cross multiply
    239,785.44x = 359,733.24 × 82,013.64
  4. Step 4: Simplify right side
    239,785.44x = 29,503,032,441.39
  5. Step 5: Solve for x
    x = 29,503,032,441.39/239,785.44
  6. Step 6: Final answer
    x = 123,039.30

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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.