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Finding the Fourth Proportional to 208,191.38, 312,286.02 and 50,419.83

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Solution

The fourth proportional to 208,191.38, 312,286.02 and 50,419.83 is: 75,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,191.38 : 312,286.02 = 50,419.83 : x
  2. Step 2: Convert to fraction form
    208,191.38/312,286.02 = 50,419.83/x
  3. Step 3: Cross multiply
    208,191.38x = 312,286.02 × 50,419.83
  4. Step 4: Simplify right side
    208,191.38x = 15,745,406,868.70
  5. Step 5: Solve for x
    x = 15,745,406,868.70/208,191.38
  6. Step 6: Final answer
    x = 75,629.49

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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.