Finding the Fourth Proportional to 200,234.25, 276,354.18 and 114,193.42
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Solution
The fourth proportional to 200,234.25, 276,354.18 and 114,193.42 is: 157,604.55
Step by Step Solution
- Step 1: Write the proportion equation
200,234.25 : 276,354.18 = 114,193.42 : x - Step 2: Convert to fraction form
200,234.25/276,354.18 = 114,193.42/x - Step 3: Cross multiply
200,234.25x = 276,354.18 × 114,193.42 - Step 4: Simplify right side
200,234.25x = 31,557,828,254.61 - Step 5: Solve for x
x = 31,557,828,254.61/200,234.25 - Step 6: Final answer
x = 157,604.55
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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.