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Finding the Fourth Proportional to 204,661.62, 306,734.58 and 109,656.18

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Solution

The fourth proportional to 204,661.62, 306,734.58 and 109,656.18 is: 164,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,661.62 : 306,734.58 = 109,656.18 : x
  2. Step 2: Convert to fraction form
    204,661.62/306,734.58 = 109,656.18/x
  3. Step 3: Cross multiply
    204,661.62x = 306,734.58 × 109,656.18
  4. Step 4: Simplify right side
    204,661.62x = 33,635,342,316.70
  5. Step 5: Solve for x
    x = 33,635,342,316.70/204,661.62
  6. Step 6: Final answer
    x = 164,346.12

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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.