Finding the Fourth Proportional to 204,283.87, 306,566.75 and 71,165.23
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Solution
The fourth proportional to 204,283.87, 306,566.75 and 71,165.23 is: 106,796.95
Step by Step Solution
- Step 1: Write the proportion equation
204,283.87 : 306,566.75 = 71,165.23 : x - Step 2: Convert to fraction form
204,283.87/306,566.75 = 71,165.23/x - Step 3: Cross multiply
204,283.87x = 306,566.75 × 71,165.23 - Step 4: Simplify right side
204,283.87x = 21,816,893,274.10 - Step 5: Solve for x
x = 21,816,893,274.10/204,283.87 - Step 6: Final answer
x = 106,796.95
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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.