Finding the Fourth Proportional to 214,798.97, 296,414.34 and 119,311.76
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Solution
The fourth proportional to 214,798.97, 296,414.34 and 119,311.76 is: 164,645.65
Step by Step Solution
- Step 1: Write the proportion equation
214,798.97 : 296,414.34 = 119,311.76 : x - Step 2: Convert to fraction form
214,798.97/296,414.34 = 119,311.76/x - Step 3: Cross multiply
214,798.97x = 296,414.34 × 119,311.76 - Step 4: Simplify right side
214,798.97x = 35,365,716,594.64 - Step 5: Solve for x
x = 35,365,716,594.64/214,798.97 - Step 6: Final answer
x = 164,645.65
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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.