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Finding the Fourth Proportional to 138,704.56, 208,056.87 and 33,523.52

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Solution

The fourth proportional to 138,704.56, 208,056.87 and 33,523.52 is: 50,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,704.56 : 208,056.87 = 33,523.52 : x
  2. Step 2: Convert to fraction form
    138,704.56/208,056.87 = 33,523.52/x
  3. Step 3: Cross multiply
    138,704.56x = 208,056.87 × 33,523.52
  4. Step 4: Simplify right side
    138,704.56x = 6,974,797,602.30
  5. Step 5: Solve for x
    x = 6,974,797,602.30/138,704.56
  6. Step 6: Final answer
    x = 50,285.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.