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Finding the Fourth Proportional to 207,778.54, 311,667.86 and 50,006.99

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Solution

The fourth proportional to 207,778.54, 311,667.86 and 50,006.99 is: 75,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,778.54 : 311,667.86 = 50,006.99 : x
  2. Step 2: Convert to fraction form
    207,778.54/311,667.86 = 50,006.99/x
  3. Step 3: Cross multiply
    207,778.54x = 311,667.86 × 50,006.99
  4. Step 4: Simplify right side
    207,778.54x = 15,585,571,278.92
  5. Step 5: Solve for x
    x = 15,585,571,278.92/207,778.54
  6. Step 6: Final answer
    x = 75,010.50

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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.