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Finding the Fourth Proportional to 135,921.10, 203,914.05 and 65,742.70

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Solution

The fourth proportional to 135,921.10, 203,914.05 and 65,742.70 is: 98,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,921.10 : 203,914.05 = 65,742.70 : x
  2. Step 2: Convert to fraction form
    135,921.10/203,914.05 = 65,742.70/x
  3. Step 3: Cross multiply
    135,921.10x = 203,914.05 × 65,742.70
  4. Step 4: Simplify right side
    135,921.10x = 13,405,860,214.94
  5. Step 5: Solve for x
    x = 13,405,860,214.94/135,921.10
  6. Step 6: Final answer
    x = 98,629.72

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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.