Finding the Fourth Proportional to 282,148.26, 423,236.23 and 113,645.84
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Solution
The fourth proportional to 282,148.26, 423,236.23 and 113,645.84 is: 170,474.33
Step by Step Solution
- Step 1: Write the proportion equation
282,148.26 : 423,236.23 = 113,645.84 : x - Step 2: Convert to fraction form
282,148.26/423,236.23 = 113,645.84/x - Step 3: Cross multiply
282,148.26x = 423,236.23 × 113,645.84 - Step 4: Simplify right side
282,148.26x = 48,099,035,035.84 - Step 5: Solve for x
x = 48,099,035,035.84/282,148.26 - Step 6: Final answer
x = 170,474.33
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.