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Finding the Fourth Proportional to 285,511.09, 428,233.50 and 75,165.43

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Solution

The fourth proportional to 285,511.09, 428,233.50 and 75,165.43 is: 112,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,511.09 : 428,233.50 = 75,165.43 : x
  2. Step 2: Convert to fraction form
    285,511.09/428,233.50 = 75,165.43/x
  3. Step 3: Cross multiply
    285,511.09x = 428,233.50 × 75,165.43
  4. Step 4: Simplify right side
    285,511.09x = 32,188,355,167.91
  5. Step 5: Solve for x
    x = 32,188,355,167.91/285,511.09
  6. Step 6: Final answer
    x = 112,739.42

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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.