Finding the Fourth Proportional to 205,083.36, 283,025.76 and 120,227.68
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Solution
The fourth proportional to 205,083.36, 283,025.76 and 120,227.68 is: 165,920.48
Step by Step Solution
- Step 1: Write the proportion equation
205,083.36 : 283,025.76 = 120,227.68 : x - Step 2: Convert to fraction form
205,083.36/283,025.76 = 120,227.68/x - Step 3: Cross multiply
205,083.36x = 283,025.76 × 120,227.68 - Step 4: Simplify right side
205,083.36x = 34,027,530,505.04 - Step 5: Solve for x
x = 34,027,530,505.04/205,083.36 - Step 6: Final answer
x = 165,920.48
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1.5x scale
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.