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Finding the Fourth Proportional to 309,297.44, 463,832.37 and 106,842.03

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Solution

The fourth proportional to 309,297.44, 463,832.37 and 106,842.03 is: 160,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,297.44 : 463,832.37 = 106,842.03 : x
  2. Step 2: Convert to fraction form
    309,297.44/463,832.37 = 106,842.03/x
  3. Step 3: Cross multiply
    309,297.44x = 463,832.37 × 106,842.03
  4. Step 4: Simplify right side
    309,297.44x = 49,556,790,251.14
  5. Step 5: Solve for x
    x = 49,556,790,251.14/309,297.44
  6. Step 6: Final answer
    x = 160,223.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.