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Finding the Fourth Proportional to 204,495.80, 306,743.70 and 171,836.60

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Solution

The fourth proportional to 204,495.80, 306,743.70 and 171,836.60 is: 257,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,495.80 : 306,743.70 = 171,836.60 : x
  2. Step 2: Convert to fraction form
    204,495.80/306,743.70 = 171,836.60/x
  3. Step 3: Cross multiply
    204,495.80x = 306,743.70 × 171,836.60
  4. Step 4: Simplify right side
    204,495.80x = 52,709,794,479.42
  5. Step 5: Solve for x
    x = 52,709,794,479.42/204,495.80
  6. Step 6: Final answer
    x = 257,754.90

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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.