Finding the Fourth Proportional to 204,467.26, 282,161.76 and 113,823.06
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Solution
The fourth proportional to 204,467.26, 282,161.76 and 113,823.06 is: 157,074.12
Step by Step Solution
- Step 1: Write the proportion equation
204,467.26 : 282,161.76 = 113,823.06 : x - Step 2: Convert to fraction form
204,467.26/282,161.76 = 113,823.06/x - Step 3: Cross multiply
204,467.26x = 282,161.76 × 113,823.06 - Step 4: Simplify right side
204,467.26x = 32,116,514,938.19 - Step 5: Solve for x
x = 32,116,514,938.19/204,467.26 - Step 6: Final answer
x = 157,074.12
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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.