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Finding the Fourth Proportional to 285,515.34, 428,239.89 and 75,169.68

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Solution

The fourth proportional to 285,515.34, 428,239.89 and 75,169.68 is: 112,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,515.34 : 428,239.89 = 75,169.68 : x
  2. Step 2: Convert to fraction form
    285,515.34/428,239.89 = 75,169.68/x
  3. Step 3: Cross multiply
    285,515.34x = 428,239.89 × 75,169.68
  4. Step 4: Simplify right side
    285,515.34x = 32,190,655,494.54
  5. Step 5: Solve for x
    x = 32,190,655,494.54/285,515.34
  6. Step 6: Final answer
    x = 112,745.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.