Finding the Fourth Proportional to 214,827.76, 296,462.16 and 119,343.36
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Solution
The fourth proportional to 214,827.76, 296,462.16 and 119,343.36 is: 164,693.75
Step by Step Solution
- Step 1: Write the proportion equation
214,827.76 : 296,462.16 = 119,343.36 : x - Step 2: Convert to fraction form
214,827.76/296,462.16 = 119,343.36/x - Step 3: Cross multiply
214,827.76x = 296,462.16 × 119,343.36 - Step 4: Simplify right side
214,827.76x = 35,380,790,287.26 - Step 5: Solve for x
x = 35,380,790,287.26/214,827.76 - Step 6: Final answer
x = 164,693.75
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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.