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Finding the Fourth Proportional to 135,960.34, 204,065.02 and 69,447.10

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Solution

The fourth proportional to 135,960.34, 204,065.02 and 69,447.10 is: 104,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,960.34 : 204,065.02 = 69,447.10 : x
  2. Step 2: Convert to fraction form
    135,960.34/204,065.02 = 69,447.10/x
  3. Step 3: Cross multiply
    135,960.34x = 204,065.02 × 69,447.10
  4. Step 4: Simplify right side
    135,960.34x = 14,171,723,850.44
  5. Step 5: Solve for x
    x = 14,171,723,850.44/135,960.34
  6. Step 6: Final answer
    x = 104,234.25

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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.