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Finding the Fourth Proportional to 207,911.38, 311,864.34 and 50,138.57

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Solution

The fourth proportional to 207,911.38, 311,864.34 and 50,138.57 is: 75,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,911.38 : 311,864.34 = 50,138.57 : x
  2. Step 2: Convert to fraction form
    207,911.38/311,864.34 = 50,138.57/x
  3. Step 3: Cross multiply
    207,911.38x = 311,864.34 × 50,138.57
  4. Step 4: Simplify right side
    207,911.38x = 15,636,432,041.59
  5. Step 5: Solve for x
    x = 15,636,432,041.59/207,911.38
  6. Step 6: Final answer
    x = 75,207.20

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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.