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Finding the Fourth Proportional to 262,706.43, 394,114.98 and 85,199.59

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Solution

The fourth proportional to 262,706.43, 394,114.98 and 85,199.59 is: 127,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,706.43 : 394,114.98 = 85,199.59 : x
  2. Step 2: Convert to fraction form
    262,706.43/394,114.98 = 85,199.59/x
  3. Step 3: Cross multiply
    262,706.43x = 394,114.98 × 85,199.59
  4. Step 4: Simplify right side
    262,706.43x = 33,578,434,708.86
  5. Step 5: Solve for x
    x = 33,578,434,708.86/262,706.43
  6. Step 6: Final answer
    x = 127,817.33

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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.