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Finding the Fourth Proportional to 136,446.93, 204,716.87 and 83,245.42

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Solution

The fourth proportional to 136,446.93, 204,716.87 and 83,245.42 is: 124,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,446.93 : 204,716.87 = 83,245.42 : x
  2. Step 2: Convert to fraction form
    136,446.93/204,716.87 = 83,245.42/x
  3. Step 3: Cross multiply
    136,446.93x = 204,716.87 × 83,245.42
  4. Step 4: Simplify right side
    136,446.93x = 17,041,741,976.07
  5. Step 5: Solve for x
    x = 17,041,741,976.07/136,446.93
  6. Step 6: Final answer
    x = 124,896.49

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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.