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Finding the Fourth Proportional to 117,247.72, 175,871.69 and 82,343.20

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Solution

The fourth proportional to 117,247.72, 175,871.69 and 82,343.20 is: 123,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,247.72 : 175,871.69 = 82,343.20 : x
  2. Step 2: Convert to fraction form
    117,247.72/175,871.69 = 82,343.20/x
  3. Step 3: Cross multiply
    117,247.72x = 175,871.69 × 82,343.20
  4. Step 4: Simplify right side
    117,247.72x = 14,481,837,744.01
  5. Step 5: Solve for x
    x = 14,481,837,744.01/117,247.72
  6. Step 6: Final answer
    x = 123,514.88

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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.