Finding the Fourth Proportional to 204,788.25, 282,609.14 and 114,149.96
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Solution
The fourth proportional to 204,788.25, 282,609.14 and 114,149.96 is: 157,527.70
Step by Step Solution
- Step 1: Write the proportion equation
204,788.25 : 282,609.14 = 114,149.96 : x - Step 2: Convert to fraction form
204,788.25/282,609.14 = 114,149.96/x - Step 3: Cross multiply
204,788.25x = 282,609.14 × 114,149.96 - Step 4: Simplify right side
204,788.25x = 32,259,821,102.62 - Step 5: Solve for x
x = 32,259,821,102.62/204,788.25 - Step 6: Final answer
x = 157,527.70
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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.