Finding the Fourth Proportional to 204,332.24, 281,971.36 and 112,442.94
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Solution
The fourth proportional to 204,332.24, 281,971.36 and 112,442.94 is: 155,167.33
Step by Step Solution
- Step 1: Write the proportion equation
204,332.24 : 281,971.36 = 112,442.94 : x - Step 2: Convert to fraction form
204,332.24/281,971.36 = 112,442.94/x - Step 3: Cross multiply
204,332.24x = 281,971.36 × 112,442.94 - Step 4: Simplify right side
204,332.24x = 31,705,688,714.20 - Step 5: Solve for x
x = 31,705,688,714.20/204,332.24 - Step 6: Final answer
x = 155,167.33
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1.5x scale
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.