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Finding the Fourth Proportional to 262,705.67, 394,113.85 and 85,198.84

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Solution

The fourth proportional to 262,705.67, 394,113.85 and 85,198.84 is: 127,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,705.67 : 394,113.85 = 85,198.84 : x
  2. Step 2: Convert to fraction form
    262,705.67/394,113.85 = 85,198.84/x
  3. Step 3: Cross multiply
    262,705.67x = 394,113.85 × 85,198.84
  4. Step 4: Simplify right side
    262,705.67x = 33,578,042,847.93
  5. Step 5: Solve for x
    x = 33,578,042,847.93/262,705.67
  6. Step 6: Final answer
    x = 127,816.21

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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.