Finding the Fourth Proportional to 203,414.13, 305,121.21 and 78,755.13
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Solution
The fourth proportional to 203,414.13, 305,121.21 and 78,755.13 is: 118,132.70
Step by Step Solution
- Step 1: Write the proportion equation
203,414.13 : 305,121.21 = 78,755.13 : x - Step 2: Convert to fraction form
203,414.13/305,121.21 = 78,755.13/x - Step 3: Cross multiply
203,414.13x = 305,121.21 × 78,755.13 - Step 4: Simplify right side
203,414.13x = 24,029,860,559.31 - Step 5: Solve for x
x = 24,029,860,559.31/203,414.13 - Step 6: Final answer
x = 118,132.70
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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.