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Finding the Fourth Proportional to 263,252.84, 394,920.26 and 85,718.55

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Solution

The fourth proportional to 263,252.84, 394,920.26 and 85,718.55 is: 128,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,252.84 : 394,920.26 = 85,718.55 : x
  2. Step 2: Convert to fraction form
    263,252.84/394,920.26 = 85,718.55/x
  3. Step 3: Cross multiply
    263,252.84x = 394,920.26 × 85,718.55
  4. Step 4: Simplify right side
    263,252.84x = 33,851,993,426.63
  5. Step 5: Solve for x
    x = 33,851,993,426.63/263,252.84
  6. Step 6: Final answer
    x = 128,591.18

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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.