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Finding the Fourth Proportional to 114,131.70, 171,234.07 and 47,578.86

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Solution

The fourth proportional to 114,131.70, 171,234.07 and 47,578.86 is: 71,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,131.70 : 171,234.07 = 47,578.86 : x
  2. Step 2: Convert to fraction form
    114,131.70/171,234.07 = 47,578.86/x
  3. Step 3: Cross multiply
    114,131.70x = 171,234.07 × 47,578.86
  4. Step 4: Simplify right side
    114,131.70x = 8,147,121,724.81
  5. Step 5: Solve for x
    x = 8,147,121,724.81/114,131.70
  6. Step 6: Final answer
    x = 71,383.51

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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.