Finding the Fourth Proportional to 205,022.49, 282,679.68 and 168,596.64
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Solution
The fourth proportional to 205,022.49, 282,679.68 and 168,596.64 is: 232,456.66
Step by Step Solution
- Step 1: Write the proportion equation
205,022.49 : 282,679.68 = 168,596.64 : x - Step 2: Convert to fraction form
205,022.49/282,679.68 = 168,596.64/x - Step 3: Cross multiply
205,022.49x = 282,679.68 × 168,596.64 - Step 4: Simplify right side
205,022.49x = 47,658,844,988.21 - Step 5: Solve for x
x = 47,658,844,988.21/205,022.49 - Step 6: Final answer
x = 232,456.66
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1.5x scale
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.