Finding the Fourth Proportional to 204,213.14, 281,772.76 and 119,313.80
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Solution
The fourth proportional to 204,213.14, 281,772.76 and 119,313.80 is: 164,628.87
Step by Step Solution
- Step 1: Write the proportion equation
204,213.14 : 281,772.76 = 119,313.80 : x - Step 2: Convert to fraction form
204,213.14/281,772.76 = 119,313.80/x - Step 3: Cross multiply
204,213.14x = 281,772.76 × 119,313.80 - Step 4: Simplify right side
204,213.14x = 33,619,378,732.09 - Step 5: Solve for x
x = 33,619,378,732.09/204,213.14 - Step 6: Final answer
x = 164,628.87
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.