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Finding the Fourth Proportional to 135,934.60, 203,729.10 and 65,662.60

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Solution

The fourth proportional to 135,934.60, 203,729.10 and 65,662.60 is: 98,410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,934.60 : 203,729.10 = 65,662.60 : x
  2. Step 2: Convert to fraction form
    135,934.60/203,729.10 = 65,662.60/x
  3. Step 3: Cross multiply
    135,934.60x = 203,729.10 × 65,662.60
  4. Step 4: Simplify right side
    135,934.60x = 13,377,382,401.66
  5. Step 5: Solve for x
    x = 13,377,382,401.66/135,934.60
  6. Step 6: Final answer
    x = 98,410.43

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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.