Finding the Fourth Proportional to 204,738.30, 282,536.37 and 114,093.99
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Solution
The fourth proportional to 204,738.30, 282,536.37 and 114,093.99 is: 157,448.32
Step by Step Solution
- Step 1: Write the proportion equation
204,738.30 : 282,536.37 = 114,093.99 : x - Step 2: Convert to fraction form
204,738.30/282,536.37 = 114,093.99/x - Step 3: Cross multiply
204,738.30x = 282,536.37 × 114,093.99 - Step 4: Simplify right side
204,738.30x = 32,235,701,773.42 - Step 5: Solve for x
x = 32,235,701,773.42/204,738.30 - Step 6: Final answer
x = 157,448.32
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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.