Finding the Fourth Proportional to 202,378.20, 283,744.20 and 202,378.20
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Solution
The fourth proportional to 202,378.20, 283,744.20 and 202,378.20 is: 283,744.20
Step by Step Solution
- Step 1: Write the proportion equation
202,378.20 : 283,744.20 = 202,378.20 : x - Step 2: Convert to fraction form
202,378.20/283,744.20 = 202,378.20/x - Step 3: Cross multiply
202,378.20x = 283,744.20 × 202,378.20 - Step 4: Simplify right side
202,378.20x = 57,423,640,456.44 - Step 5: Solve for x
x = 57,423,640,456.44/202,378.20 - Step 6: Final answer
x = 283,744.20
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.