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Finding the Fourth Proportional to 135,634, 203,462.07 and 68,131.31

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Solution

The fourth proportional to 135,634, 203,462.07 and 68,131.31 is: 102,202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,634 : 203,462.07 = 68,131.31 : x
  2. Step 2: Convert to fraction form
    135,634/203,462.07 = 68,131.31/x
  3. Step 3: Cross multiply
    135,634x = 203,462.07 × 68,131.31
  4. Step 4: Simplify right side
    135,634x = 13,862,137,364.41
  5. Step 5: Solve for x
    x = 13,862,137,364.41/135,634
  6. Step 6: Final answer
    x = 102,202.53

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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.