Finding the Fourth Proportional to 302,134.14, 416,945.26 and 166,177.31
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Solution
The fourth proportional to 302,134.14, 416,945.26 and 166,177.31 is: 229,324.77
Step by Step Solution
- Step 1: Write the proportion equation
302,134.14 : 416,945.26 = 166,177.31 : x - Step 2: Convert to fraction form
302,134.14/416,945.26 = 166,177.31/x - Step 3: Cross multiply
302,134.14x = 416,945.26 × 166,177.31 - Step 4: Simplify right side
302,134.14x = 69,286,841,724.05 - Step 5: Solve for x
x = 69,286,841,724.05/302,134.14 - Step 6: Final answer
x = 229,324.77
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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.