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Finding the Fourth Proportional to 259,616.40, 389,424.60 and 135,200.40

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Solution

The fourth proportional to 259,616.40, 389,424.60 and 135,200.40 is: 202,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,616.40 : 389,424.60 = 135,200.40 : x
  2. Step 2: Convert to fraction form
    259,616.40/389,424.60 = 135,200.40/x
  3. Step 3: Cross multiply
    259,616.40x = 389,424.60 × 135,200.40
  4. Step 4: Simplify right side
    259,616.40x = 52,650,361,689.84
  5. Step 5: Solve for x
    x = 52,650,361,689.84/259,616.40
  6. Step 6: Final answer
    x = 202,800.60

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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.