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Finding the Fourth Proportional to 138,705.93, 208,059.44 and 33,524.73

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Solution

The fourth proportional to 138,705.93, 208,059.44 and 33,524.73 is: 50,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,705.93 : 208,059.44 = 33,524.73 : x
  2. Step 2: Convert to fraction form
    138,705.93/208,059.44 = 33,524.73/x
  3. Step 3: Cross multiply
    138,705.93x = 208,059.44 × 33,524.73
  4. Step 4: Simplify right side
    138,705.93x = 6,975,136,382.33
  5. Step 5: Solve for x
    x = 6,975,136,382.33/138,705.93
  6. Step 6: Final answer
    x = 50,287.23

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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.