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Finding the Fourth Proportional to 83,453.67, 125,212.47 and 50,197.29

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Solution

The fourth proportional to 83,453.67, 125,212.47 and 50,197.29 is: 75,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,453.67 : 125,212.47 = 50,197.29 : x
  2. Step 2: Convert to fraction form
    83,453.67/125,212.47 = 50,197.29/x
  3. Step 3: Cross multiply
    83,453.67x = 125,212.47 × 50,197.29
  4. Step 4: Simplify right side
    83,453.67x = 6,285,326,668.21
  5. Step 5: Solve for x
    x = 6,285,326,668.21/83,453.67
  6. Step 6: Final answer
    x = 75,315.16

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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.