Finding the Fourth Proportional to 302,133.14, 416,943.88 and 166,176.31
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Solution
The fourth proportional to 302,133.14, 416,943.88 and 166,176.31 is: 229,323.39
Step by Step Solution
- Step 1: Write the proportion equation
302,133.14 : 416,943.88 = 166,176.31 : x - Step 2: Convert to fraction form
302,133.14/416,943.88 = 166,176.31/x - Step 3: Cross multiply
302,133.14x = 416,943.88 × 166,176.31 - Step 4: Simplify right side
302,133.14x = 69,286,195,246.82 - Step 5: Solve for x
x = 69,286,195,246.82/302,133.14 - Step 6: Final answer
x = 229,323.39
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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.