Finding the Fourth Proportional to 226,932.16, 313,161.96 and 142,096
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Solution
The fourth proportional to 226,932.16, 313,161.96 and 142,096 is: 196,089.71
Step by Step Solution
- Step 1: Write the proportion equation
226,932.16 : 313,161.96 = 142,096 : x - Step 2: Convert to fraction form
226,932.16/313,161.96 = 142,096/x - Step 3: Cross multiply
226,932.16x = 313,161.96 × 142,096 - Step 4: Simplify right side
226,932.16x = 44,499,061,868.16 - Step 5: Solve for x
x = 44,499,061,868.16/226,932.16 - Step 6: Final answer
x = 196,089.71
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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.