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Finding the Fourth Proportional to 259,523.60, 389,298.20 and 135,107.60

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Solution

The fourth proportional to 259,523.60, 389,298.20 and 135,107.60 is: 202,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,523.60 : 389,298.20 = 135,107.60 : x
  2. Step 2: Convert to fraction form
    259,523.60/389,298.20 = 135,107.60/x
  3. Step 3: Cross multiply
    259,523.60x = 389,298.20 × 135,107.60
  4. Step 4: Simplify right side
    259,523.60x = 52,597,145,486.32
  5. Step 5: Solve for x
    x = 52,597,145,486.32/259,523.60
  6. Step 6: Final answer
    x = 202,668.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.