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Finding the Fourth Proportional to 321,079.72, 481,714.62 and 110,738.92

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Solution

The fourth proportional to 321,079.72, 481,714.62 and 110,738.92 is: 166,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,079.72 : 481,714.62 = 110,738.92 : x
  2. Step 2: Convert to fraction form
    321,079.72/481,714.62 = 110,738.92/x
  3. Step 3: Cross multiply
    321,079.72x = 481,714.62 × 110,738.92
  4. Step 4: Simplify right side
    321,079.72x = 53,344,556,767.01
  5. Step 5: Solve for x
    x = 53,344,556,767.01/321,079.72
  6. Step 6: Final answer
    x = 166,141.16

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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.