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Finding the Fourth Proportional to 208,057.96, 312,087.75 and 50,286.16

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Solution

The fourth proportional to 208,057.96, 312,087.75 and 50,286.16 is: 75,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,057.96 : 312,087.75 = 50,286.16 : x
  2. Step 2: Convert to fraction form
    208,057.96/312,087.75 = 50,286.16/x
  3. Step 3: Cross multiply
    208,057.96x = 312,087.75 × 50,286.16
  4. Step 4: Simplify right side
    208,057.96x = 15,693,693,750.32
  5. Step 5: Solve for x
    x = 15,693,693,750.32/208,057.96
  6. Step 6: Final answer
    x = 75,429.43

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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.