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Finding the Fourth Proportional to 263,184.08, 394,734.91 and 85,689.90

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Solution

The fourth proportional to 263,184.08, 394,734.91 and 85,689.90 is: 128,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,184.08 : 394,734.91 = 85,689.90 : x
  2. Step 2: Convert to fraction form
    263,184.08/394,734.91 = 85,689.90/x
  3. Step 3: Cross multiply
    263,184.08x = 394,734.91 × 85,689.90
  4. Step 4: Simplify right side
    263,184.08x = 33,824,793,763.35
  5. Step 5: Solve for x
    x = 33,824,793,763.35/263,184.08
  6. Step 6: Final answer
    x = 128,521.43

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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.