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Finding the Fourth Proportional to 138,704.42, 208,056.68 and 33,523.39

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Solution

The fourth proportional to 138,704.42, 208,056.68 and 33,523.39 is: 50,285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,704.42 : 208,056.68 = 33,523.39 : x
  2. Step 2: Convert to fraction form
    138,704.42/208,056.68 = 33,523.39/x
  3. Step 3: Cross multiply
    138,704.42x = 208,056.68 × 33,523.39
  4. Step 4: Simplify right side
    138,704.42x = 6,974,765,225.75
  5. Step 5: Solve for x
    x = 6,974,765,225.75/138,704.42
  6. Step 6: Final answer
    x = 50,285.10

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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.