Finding the Fourth Proportional to 296,201.06, 408,756.23 and 160,234.68
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Solution
The fourth proportional to 296,201.06, 408,756.23 and 160,234.68 is: 221,123.19
Step by Step Solution
- Step 1: Write the proportion equation
296,201.06 : 408,756.23 = 160,234.68 : x - Step 2: Convert to fraction form
296,201.06/408,756.23 = 160,234.68/x - Step 3: Cross multiply
296,201.06x = 408,756.23 × 160,234.68 - Step 4: Simplify right side
296,201.06x = 65,496,922,910.88 - Step 5: Solve for x
x = 65,496,922,910.88/296,201.06 - Step 6: Final answer
x = 221,123.19
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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.