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Finding the Fourth Proportional to 214,637.28, 321,955.92 and 74,395.92

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Solution

The fourth proportional to 214,637.28, 321,955.92 and 74,395.92 is: 111,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,637.28 : 321,955.92 = 74,395.92 : x
  2. Step 2: Convert to fraction form
    214,637.28/321,955.92 = 74,395.92/x
  3. Step 3: Cross multiply
    214,637.28x = 321,955.92 × 74,395.92
  4. Step 4: Simplify right side
    214,637.28x = 23,952,206,867.85
  5. Step 5: Solve for x
    x = 23,952,206,867.85/214,637.28
  6. Step 6: Final answer
    x = 111,593.88

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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.