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Finding the Fourth Proportional to 204,458.40, 306,687.60 and 195,536.80

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Solution

The fourth proportional to 204,458.40, 306,687.60 and 195,536.80 is: 293,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,458.40 : 306,687.60 = 195,536.80 : x
  2. Step 2: Convert to fraction form
    204,458.40/306,687.60 = 195,536.80/x
  3. Step 3: Cross multiply
    204,458.40x = 306,687.60 × 195,536.80
  4. Step 4: Simplify right side
    204,458.40x = 59,968,711,903.68
  5. Step 5: Solve for x
    x = 59,968,711,903.68/204,458.40
  6. Step 6: Final answer
    x = 293,305.20

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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.