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Finding the Fourth Proportional to 204,662.12, 306,735.33 and 109,656.68

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Solution

The fourth proportional to 204,662.12, 306,735.33 and 109,656.68 is: 164,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,662.12 : 306,735.33 = 109,656.68 : x
  2. Step 2: Convert to fraction form
    204,662.12/306,735.33 = 109,656.68/x
  3. Step 3: Cross multiply
    204,662.12x = 306,735.33 × 109,656.68
  4. Step 4: Simplify right side
    204,662.12x = 33,635,577,926.50
  5. Step 5: Solve for x
    x = 33,635,577,926.50/204,662.12
  6. Step 6: Final answer
    x = 164,346.87

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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.