Finding the Fourth Proportional to 204,542.26, 282,193.40 and 123,911.62
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Solution
The fourth proportional to 204,542.26, 282,193.40 and 123,911.62 is: 170,952.65
Step by Step Solution
- Step 1: Write the proportion equation
204,542.26 : 282,193.40 = 123,911.62 : x - Step 2: Convert to fraction form
204,542.26/282,193.40 = 123,911.62/x - Step 3: Cross multiply
204,542.26x = 282,193.40 × 123,911.62 - Step 4: Simplify right side
204,542.26x = 34,967,041,347.31 - Step 5: Solve for x
x = 34,967,041,347.31/204,542.26 - Step 6: Final answer
x = 170,952.65
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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.