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Finding the Fourth Proportional to 135,441.24, 203,213.72 and 65,314.68

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Solution

The fourth proportional to 135,441.24, 203,213.72 and 65,314.68 is: 97,997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,441.24 : 203,213.72 = 65,314.68 : x
  2. Step 2: Convert to fraction form
    135,441.24/203,213.72 = 65,314.68/x
  3. Step 3: Cross multiply
    135,441.24x = 203,213.72 × 65,314.68
  4. Step 4: Simplify right side
    135,441.24x = 13,272,839,093.41
  5. Step 5: Solve for x
    x = 13,272,839,093.41/135,441.24
  6. Step 6: Final answer
    x = 97,997.03

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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.