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Finding the Fourth Proportional to 207,352.80, 311,029.20 and 140,997.60

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Solution

The fourth proportional to 207,352.80, 311,029.20 and 140,997.60 is: 211,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,352.80 : 311,029.20 = 140,997.60 : x
  2. Step 2: Convert to fraction form
    207,352.80/311,029.20 = 140,997.60/x
  3. Step 3: Cross multiply
    207,352.80x = 311,029.20 × 140,997.60
  4. Step 4: Simplify right side
    207,352.80x = 43,854,370,729.92
  5. Step 5: Solve for x
    x = 43,854,370,729.92/207,352.80
  6. Step 6: Final answer
    x = 211,496.40

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1.5x scale

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.