Finding the Fourth Proportional to 205,234.62, 283,221.11 and 114,592.14
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Solution
The fourth proportional to 205,234.62, 283,221.11 and 114,592.14 is: 158,135.66
Step by Step Solution
- Step 1: Write the proportion equation
205,234.62 : 283,221.11 = 114,592.14 : x - Step 2: Convert to fraction form
205,234.62/283,221.11 = 114,592.14/x - Step 3: Cross multiply
205,234.62x = 283,221.11 × 114,592.14 - Step 4: Simplify right side
205,234.62x = 32,454,912,515.11 - Step 5: Solve for x
x = 32,454,912,515.11/205,234.62 - Step 6: Final answer
x = 158,135.66
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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.