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Finding the Fourth Proportional to 259,682.60, 389,305.20 and 135,023.60

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Solution

The fourth proportional to 259,682.60, 389,305.20 and 135,023.60 is: 202,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,682.60 : 389,305.20 = 135,023.60 : x
  2. Step 2: Convert to fraction form
    259,682.60/389,305.20 = 135,023.60/x
  3. Step 3: Cross multiply
    259,682.60x = 389,305.20 × 135,023.60
  4. Step 4: Simplify right side
    259,682.60x = 52,565,389,602.72
  5. Step 5: Solve for x
    x = 52,565,389,602.72/259,682.60
  6. Step 6: Final answer
    x = 202,421.69

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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.