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Finding the Fourth Proportional to 188,571, 260,227.98 and 113,143.80

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Solution

The fourth proportional to 188,571, 260,227.98 and 113,143.80 is: 156,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,571 : 260,227.98 = 113,143.80 : x
  2. Step 2: Convert to fraction form
    188,571/260,227.98 = 113,143.80/x
  3. Step 3: Cross multiply
    188,571x = 260,227.98 × 113,143.80
  4. Step 4: Simplify right side
    188,571x = 29,443,182,523.52
  5. Step 5: Solve for x
    x = 29,443,182,523.52/188,571
  6. Step 6: Final answer
    x = 156,138.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.