Finding the Fourth Proportional to 296,142.08, 408,676.14 and 167,107.92
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Solution
The fourth proportional to 296,142.08, 408,676.14 and 167,107.92 is: 230,608.97
Step by Step Solution
- Step 1: Write the proportion equation
296,142.08 : 408,676.14 = 167,107.92 : x - Step 2: Convert to fraction form
296,142.08/408,676.14 = 167,107.92/x - Step 3: Cross multiply
296,142.08x = 408,676.14 × 167,107.92 - Step 4: Simplify right side
296,142.08x = 68,293,019,709.03 - Step 5: Solve for x
x = 68,293,019,709.03/296,142.08 - Step 6: Final answer
x = 230,608.97
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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.