Finding the Fourth Proportional to 205,743.81, 283,769.46 and 177,110.49
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Solution
The fourth proportional to 205,743.81, 283,769.46 and 177,110.49 is: 244,277.33
Step by Step Solution
- Step 1: Write the proportion equation
205,743.81 : 283,769.46 = 177,110.49 : x - Step 2: Convert to fraction form
205,743.81/283,769.46 = 177,110.49/x - Step 3: Cross multiply
205,743.81x = 283,769.46 × 177,110.49 - Step 4: Simplify right side
205,743.81x = 50,258,548,107.64 - Step 5: Solve for x
x = 50,258,548,107.64/205,743.81 - Step 6: Final answer
x = 244,277.33
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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.