Finding the Fourth Proportional to 205,232.44, 283,218.08 and 114,589.95
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Solution
The fourth proportional to 205,232.44, 283,218.08 and 114,589.95 is: 158,132.63
Step by Step Solution
- Step 1: Write the proportion equation
205,232.44 : 283,218.08 = 114,589.95 : x - Step 2: Convert to fraction form
205,232.44/283,218.08 = 114,589.95/x - Step 3: Cross multiply
205,232.44x = 283,218.08 × 114,589.95 - Step 4: Simplify right side
205,232.44x = 32,453,945,626.30 - Step 5: Solve for x
x = 32,453,945,626.30/205,232.44 - Step 6: Final answer
x = 158,132.63
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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.