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Finding the Fourth Proportional to 285,950.32, 394,613.22 and 165,096.52

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Solution

The fourth proportional to 285,950.32, 394,613.22 and 165,096.52 is: 227,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,950.32 : 394,613.22 = 165,096.52 : x
  2. Step 2: Convert to fraction form
    285,950.32/394,613.22 = 165,096.52/x
  3. Step 3: Cross multiply
    285,950.32x = 394,613.22 × 165,096.52
  4. Step 4: Simplify right side
    285,950.32x = 65,149,269,367.99
  5. Step 5: Solve for x
    x = 65,149,269,367.99/285,950.32
  6. Step 6: Final answer
    x = 227,834.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.