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Finding the Fourth Proportional to 135,999.10, 203,825.85 and 65,727.10

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Solution

The fourth proportional to 135,999.10, 203,825.85 and 65,727.10 is: 98,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,999.10 : 203,825.85 = 65,727.10 : x
  2. Step 2: Convert to fraction form
    135,999.10/203,825.85 = 65,727.10/x
  3. Step 3: Cross multiply
    135,999.10x = 203,825.85 × 65,727.10
  4. Step 4: Simplify right side
    135,999.10x = 13,396,882,025.54
  5. Step 5: Solve for x
    x = 13,396,882,025.54/135,999.10
  6. Step 6: Final answer
    x = 98,507.14

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Why These Related Problems?

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