Finding the Fourth Proportional to 205,495.92, 283,572.99 and 114,833.84
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Solution
The fourth proportional to 205,495.92, 283,572.99 and 114,833.84 is: 158,464.33
Step by Step Solution
- Step 1: Write the proportion equation
205,495.92 : 283,572.99 = 114,833.84 : x - Step 2: Convert to fraction form
205,495.92/283,572.99 = 114,833.84/x - Step 3: Cross multiply
205,495.92x = 283,572.99 × 114,833.84 - Step 4: Simplify right side
205,495.92x = 32,563,773,944.12 - Step 5: Solve for x
x = 32,563,773,944.12/205,495.92 - Step 6: Final answer
x = 158,464.33
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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.