Finding the Fourth Proportional to 275,106.09, 412,523.01 and 97,586.49
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Solution
The fourth proportional to 275,106.09, 412,523.01 and 97,586.49 is: 146,331.45
Step by Step Solution
- Step 1: Write the proportion equation
275,106.09 : 412,523.01 = 97,586.49 : x - Step 2: Convert to fraction form
275,106.09/412,523.01 = 97,586.49/x - Step 3: Cross multiply
275,106.09x = 412,523.01 × 97,586.49 - Step 4: Simplify right side
275,106.09x = 40,256,672,590.13 - Step 5: Solve for x
x = 40,256,672,590.13/275,106.09 - Step 6: Final answer
x = 146,331.45
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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.