Finding the Fourth Proportional to 205,236.88, 283,224.20 and 114,594.39
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Solution
The fourth proportional to 205,236.88, 283,224.20 and 114,594.39 is: 158,138.75
Step by Step Solution
- Step 1: Write the proportion equation
205,236.88 : 283,224.20 = 114,594.39 : x - Step 2: Convert to fraction form
205,236.88/283,224.20 = 114,594.39/x - Step 3: Cross multiply
205,236.88x = 283,224.20 × 114,594.39 - Step 4: Simplify right side
205,236.88x = 32,455,904,432.24 - Step 5: Solve for x
x = 32,455,904,432.24/205,236.88 - Step 6: Final answer
x = 158,138.75
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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.