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Finding the Fourth Proportional to 146,556, 202,247.28 and 82,892.43

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Solution

The fourth proportional to 146,556, 202,247.28 and 82,892.43 is: 114,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,556 : 202,247.28 = 82,892.43 : x
  2. Step 2: Convert to fraction form
    146,556/202,247.28 = 82,892.43/x
  3. Step 3: Cross multiply
    146,556x = 202,247.28 × 82,892.43
  4. Step 4: Simplify right side
    146,556x = 16,764,768,500.09
  5. Step 5: Solve for x
    x = 16,764,768,500.09/146,556
  6. Step 6: Final answer
    x = 114,391.55

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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.