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Finding the Fourth Proportional to 263,846.70, 395,770.05 and 157,401.90

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Solution

The fourth proportional to 263,846.70, 395,770.05 and 157,401.90 is: 236,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,846.70 : 395,770.05 = 157,401.90 : x
  2. Step 2: Convert to fraction form
    263,846.70/395,770.05 = 157,401.90/x
  3. Step 3: Cross multiply
    263,846.70x = 395,770.05 × 157,401.90
  4. Step 4: Simplify right side
    263,846.70x = 62,294,957,833.10
  5. Step 5: Solve for x
    x = 62,294,957,833.10/263,846.70
  6. Step 6: Final answer
    x = 236,102.85

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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.