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Finding the Fourth Proportional to 169,824.44, 254,721 and 57,491.82

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Solution

The fourth proportional to 169,824.44, 254,721 and 57,491.82 is: 86,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,824.44 : 254,721 = 57,491.82 : x
  2. Step 2: Convert to fraction form
    169,824.44/254,721 = 57,491.82/x
  3. Step 3: Cross multiply
    169,824.44x = 254,721 × 57,491.82
  4. Step 4: Simplify right side
    169,824.44x = 14,644,373,882.22
  5. Step 5: Solve for x
    x = 14,644,373,882.22/169,824.44
  6. Step 6: Final answer
    x = 86,232.43

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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.