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Finding the Fourth Proportional to 135,206.40, 202,809.60 and 90,969.60

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Solution

The fourth proportional to 135,206.40, 202,809.60 and 90,969.60 is: 136,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,206.40 : 202,809.60 = 90,969.60 : x
  2. Step 2: Convert to fraction form
    135,206.40/202,809.60 = 90,969.60/x
  3. Step 3: Cross multiply
    135,206.40x = 202,809.60 × 90,969.60
  4. Step 4: Simplify right side
    135,206.40x = 18,449,508,188.16
  5. Step 5: Solve for x
    x = 18,449,508,188.16/135,206.40
  6. Step 6: Final answer
    x = 136,454.40

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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.