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Finding the Fourth Proportional to 263,185.72, 394,737.35 and 85,691.53

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Solution

The fourth proportional to 263,185.72, 394,737.35 and 85,691.53 is: 128,523.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,185.72 : 394,737.35 = 85,691.53 : x
  2. Step 2: Convert to fraction form
    263,185.72/394,737.35 = 85,691.53/x
  3. Step 3: Cross multiply
    263,185.72x = 394,737.35 × 85,691.53
  4. Step 4: Simplify right side
    263,185.72x = 33,825,646,054.34
  5. Step 5: Solve for x
    x = 33,825,646,054.34/263,185.72
  6. Step 6: Final answer
    x = 128,523.87

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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.