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Finding the Fourth Proportional to 146,216.48, 201,777 and 82,556.96

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Solution

The fourth proportional to 146,216.48, 201,777 and 82,556.96 is: 113,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,216.48 : 201,777 = 82,556.96 : x
  2. Step 2: Convert to fraction form
    146,216.48/201,777 = 82,556.96/x
  3. Step 3: Cross multiply
    146,216.48x = 201,777 × 82,556.96
  4. Step 4: Simplify right side
    146,216.48x = 16,658,095,717.92
  5. Step 5: Solve for x
    x = 16,658,095,717.92/146,216.48
  6. Step 6: Final answer
    x = 113,927.62

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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.