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Finding the Fourth Proportional to 150,760.50, 208,052.39 and 82,784.44

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Solution

The fourth proportional to 150,760.50, 208,052.39 and 82,784.44 is: 114,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,760.50 : 208,052.39 = 82,784.44 : x
  2. Step 2: Convert to fraction form
    150,760.50/208,052.39 = 82,784.44/x
  3. Step 3: Cross multiply
    150,760.50x = 208,052.39 × 82,784.44
  4. Step 4: Simplify right side
    150,760.50x = 17,223,500,774.33
  5. Step 5: Solve for x
    x = 17,223,500,774.33/150,760.50
  6. Step 6: Final answer
    x = 114,244.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.