Finding the Fourth Proportional to 206,377.68, 284,804.46 and 115,753.80
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Solution
The fourth proportional to 206,377.68, 284,804.46 and 115,753.80 is: 159,742.07
Step by Step Solution
- Step 1: Write the proportion equation
206,377.68 : 284,804.46 = 115,753.80 : x - Step 2: Convert to fraction form
206,377.68/284,804.46 = 115,753.80/x - Step 3: Cross multiply
206,377.68x = 284,804.46 × 115,753.80 - Step 4: Simplify right side
206,377.68x = 32,967,198,501.95 - Step 5: Solve for x
x = 32,967,198,501.95/206,377.68 - Step 6: Final answer
x = 159,742.07
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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.