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Finding the Fourth Proportional to 146,520.41, 202,188.38 and 81,978.44

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Solution

The fourth proportional to 146,520.41, 202,188.38 and 81,978.44 is: 113,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,520.41 : 202,188.38 = 81,978.44 : x
  2. Step 2: Convert to fraction form
    146,520.41/202,188.38 = 81,978.44/x
  3. Step 3: Cross multiply
    146,520.41x = 202,188.38 × 81,978.44
  4. Step 4: Simplify right side
    146,520.41x = 16,575,086,557.69
  5. Step 5: Solve for x
    x = 16,575,086,557.69/146,520.41
  6. Step 6: Final answer
    x = 113,124.77

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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.