Finding the Fourth Proportional to 204,467.25, 282,161.77 and 113,823.05
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Solution
The fourth proportional to 204,467.25, 282,161.77 and 113,823.05 is: 157,074.12
Step by Step Solution
- Step 1: Write the proportion equation
204,467.25 : 282,161.77 = 113,823.05 : x - Step 2: Convert to fraction form
204,467.25/282,161.77 = 113,823.05/x - Step 3: Cross multiply
204,467.25x = 282,161.77 × 113,823.05 - Step 4: Simplify right side
204,467.25x = 32,116,513,254.80 - Step 5: Solve for x
x = 32,116,513,254.80/204,467.25 - 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.