Finding the Fourth Proportional to 205,495.17, 283,571.96 and 114,833.09
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Solution
The fourth proportional to 205,495.17, 283,571.96 and 114,833.09 is: 158,463.30
Step by Step Solution
- Step 1: Write the proportion equation
205,495.17 : 283,571.96 = 114,833.09 : x - Step 2: Convert to fraction form
205,495.17/283,571.96 = 114,833.09/x - Step 3: Cross multiply
205,495.17x = 283,571.96 × 114,833.09 - Step 4: Simplify right side
205,495.17x = 32,563,442,412.13 - Step 5: Solve for x
x = 32,563,442,412.13/205,495.17 - Step 6: Final answer
x = 158,463.30
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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.