Finding the Fourth Proportional to 275,207.14, 412,851.75 and 97,699.29
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Solution
The fourth proportional to 275,207.14, 412,851.75 and 97,699.29 is: 146,563.50
Step by Step Solution
- Step 1: Write the proportion equation
275,207.14 : 412,851.75 = 97,699.29 : x - Step 2: Convert to fraction form
275,207.14/412,851.75 = 97,699.29/x - Step 3: Cross multiply
275,207.14x = 412,851.75 × 97,699.29 - Step 4: Simplify right side
275,207.14x = 40,335,322,850.26 - Step 5: Solve for x
x = 40,335,322,850.26/275,207.14 - Step 6: Final answer
x = 146,563.50
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1.5x scale
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.