Finding the Fourth Proportional to 211,922.87, 317,573.26 and 106,596.95
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Solution
The fourth proportional to 211,922.87, 317,573.26 and 106,596.95 is: 159,738.96
Step by Step Solution
- Step 1: Write the proportion equation
211,922.87 : 317,573.26 = 106,596.95 : x - Step 2: Convert to fraction form
211,922.87/317,573.26 = 106,596.95/x - Step 3: Cross multiply
211,922.87x = 317,573.26 × 106,596.95 - Step 4: Simplify right side
211,922.87x = 33,852,339,063.20 - Step 5: Solve for x
x = 33,852,339,063.20/211,922.87 - Step 6: Final answer
x = 159,738.96
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.