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Finding the Fourth Proportional to 285,354.22, 428,049.78 and 95,806.93

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Solution

The fourth proportional to 285,354.22, 428,049.78 and 95,806.93 is: 143,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,354.22 : 428,049.78 = 95,806.93 : x
  2. Step 2: Convert to fraction form
    285,354.22/428,049.78 = 95,806.93/x
  3. Step 3: Cross multiply
    285,354.22x = 428,049.78 × 95,806.93
  4. Step 4: Simplify right side
    285,354.22x = 41,010,133,613.01
  5. Step 5: Solve for x
    x = 41,010,133,613.01/285,354.22
  6. Step 6: Final answer
    x = 143,716.59

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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.