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Finding the Fourth Proportional to 146,871.53, 202,683.38 and 83,221.73

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Solution

The fourth proportional to 146,871.53, 202,683.38 and 83,221.73 is: 114,846.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,871.53 : 202,683.38 = 83,221.73 : x
  2. Step 2: Convert to fraction form
    146,871.53/202,683.38 = 83,221.73/x
  3. Step 3: Cross multiply
    146,871.53x = 202,683.38 × 83,221.73
  4. Step 4: Simplify right side
    146,871.53x = 16,867,661,525.85
  5. Step 5: Solve for x
    x = 16,867,661,525.85/146,871.53
  6. Step 6: Final answer
    x = 114,846.37

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Why These Related Problems?

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