Finding the Fourth Proportional to 200,830.24, 277,144.32 and 110,183.68
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Solution
The fourth proportional to 200,830.24, 277,144.32 and 110,183.68 is: 152,052.70
Step by Step Solution
- Step 1: Write the proportion equation
200,830.24 : 277,144.32 = 110,183.68 : x - Step 2: Convert to fraction form
200,830.24/277,144.32 = 110,183.68/x - Step 3: Cross multiply
200,830.24x = 277,144.32 × 110,183.68 - Step 4: Simplify right side
200,830.24x = 30,536,781,068.70 - Step 5: Solve for x
x = 30,536,781,068.70/200,830.24 - Step 6: Final answer
x = 152,052.70
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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.