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Finding the Fourth Proportional to 207,546.80, 311,320.20 and 188,847.95

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Solution

The fourth proportional to 207,546.80, 311,320.20 and 188,847.95 is: 283,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,546.80 : 311,320.20 = 188,847.95 : x
  2. Step 2: Convert to fraction form
    207,546.80/311,320.20 = 188,847.95/x
  3. Step 3: Cross multiply
    207,546.80x = 311,320.20 × 188,847.95
  4. Step 4: Simplify right side
    207,546.80x = 58,792,181,563.59
  5. Step 5: Solve for x
    x = 58,792,181,563.59/207,546.80
  6. Step 6: Final answer
    x = 283,271.93

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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.