Finding the Fourth Proportional to 224,190.14, 309,468.76 and 164,236.96
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Solution
The fourth proportional to 224,190.14, 309,468.76 and 164,236.96 is: 226,710.28
Step by Step Solution
- Step 1: Write the proportion equation
224,190.14 : 309,468.76 = 164,236.96 : x - Step 2: Convert to fraction form
224,190.14/309,468.76 = 164,236.96/x - Step 3: Cross multiply
224,190.14x = 309,468.76 × 164,236.96 - Step 4: Simplify right side
224,190.14x = 50,826,208,357.37 - Step 5: Solve for x
x = 50,826,208,357.37/224,190.14 - Step 6: Final answer
x = 226,710.28
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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.