Finding the Fourth Proportional to 214,694.92, 296,288.25 and 119,201.63
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Solution
The fourth proportional to 214,694.92, 296,288.25 and 119,201.63 is: 164,503.38
Step by Step Solution
- Step 1: Write the proportion equation
214,694.92 : 296,288.25 = 119,201.63 : x - Step 2: Convert to fraction form
214,694.92/296,288.25 = 119,201.63/x - Step 3: Cross multiply
214,694.92x = 296,288.25 × 119,201.63 - Step 4: Simplify right side
214,694.92x = 35,318,040,421.40 - Step 5: Solve for x
x = 35,318,040,421.40/214,694.92 - Step 6: Final answer
x = 164,503.38
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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.