Finding the Fourth Proportional to 214,294.26, 295,723.71 and 123,649.14
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Solution
The fourth proportional to 214,294.26, 295,723.71 and 123,649.14 is: 170,634.45
Step by Step Solution
- Step 1: Write the proportion equation
214,294.26 : 295,723.71 = 123,649.14 : x - Step 2: Convert to fraction form
214,294.26/295,723.71 = 123,649.14/x - Step 3: Cross multiply
214,294.26x = 295,723.71 × 123,649.14 - Step 4: Simplify right side
214,294.26x = 36,565,982,419.11 - Step 5: Solve for x
x = 36,565,982,419.11/214,294.26 - Step 6: Final answer
x = 170,634.45
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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.