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Finding the Fourth Proportional to 322,089.36, 482,935.60 and 108,837.12

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Solution

The fourth proportional to 322,089.36, 482,935.60 and 108,837.12 is: 163,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,089.36 : 482,935.60 = 108,837.12 : x
  2. Step 2: Convert to fraction form
    322,089.36/482,935.60 = 108,837.12/x
  3. Step 3: Cross multiply
    322,089.36x = 482,935.60 × 108,837.12
  4. Step 4: Simplify right side
    322,089.36x = 52,561,321,659.05
  5. Step 5: Solve for x
    x = 52,561,321,659.05/322,089.36
  6. Step 6: Final answer
    x = 163,188.63

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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.