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Finding the Fourth Proportional to 263,156.96, 394,834.56 and 158,049.20

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Solution

The fourth proportional to 263,156.96, 394,834.56 and 158,049.20 is: 237,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,156.96 : 394,834.56 = 158,049.20 : x
  2. Step 2: Convert to fraction form
    263,156.96/394,834.56 = 158,049.20/x
  3. Step 3: Cross multiply
    263,156.96x = 394,834.56 × 158,049.20
  4. Step 4: Simplify right side
    263,156.96x = 62,403,286,340.35
  5. Step 5: Solve for x
    x = 62,403,286,340.35/263,156.96
  6. Step 6: Final answer
    x = 237,133.33

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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.