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Finding the Fourth Proportional to 214,644.88, 321,963.54 and 74,401.48

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Solution

The fourth proportional to 214,644.88, 321,963.54 and 74,401.48 is: 111,600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,644.88 : 321,963.54 = 74,401.48 : x
  2. Step 2: Convert to fraction form
    214,644.88/321,963.54 = 74,401.48/x
  3. Step 3: Cross multiply
    214,644.88x = 321,963.54 × 74,401.48
  4. Step 4: Simplify right side
    214,644.88x = 23,954,563,882.04
  5. Step 5: Solve for x
    x = 23,954,563,882.04/214,644.88
  6. Step 6: Final answer
    x = 111,600.91

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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.