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Finding the Fourth Proportional to 146,406.26, 202,044.44 and 82,748.10

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Solution

The fourth proportional to 146,406.26, 202,044.44 and 82,748.10 is: 114,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,406.26 : 202,044.44 = 82,748.10 : x
  2. Step 2: Convert to fraction form
    146,406.26/202,044.44 = 82,748.10/x
  3. Step 3: Cross multiply
    146,406.26x = 202,044.44 × 82,748.10
  4. Step 4: Simplify right side
    146,406.26x = 16,718,793,525.56
  5. Step 5: Solve for x
    x = 16,718,793,525.56/146,406.26
  6. Step 6: Final answer
    x = 114,194.53

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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.