Finding the Fourth Proportional to 106,164.92, 159,252.96 and 27,279.68
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Solution
The fourth proportional to 106,164.92, 159,252.96 and 27,279.68 is: 40,920.95
Step by Step Solution
- Step 1: Write the proportion equation
106,164.92 : 159,252.96 = 27,279.68 : x - Step 2: Convert to fraction form
106,164.92/159,252.96 = 27,279.68/x - Step 3: Cross multiply
106,164.92x = 159,252.96 × 27,279.68 - Step 4: Simplify right side
106,164.92x = 4,344,369,787.85 - Step 5: Solve for x
x = 4,344,369,787.85/106,164.92 - Step 6: Final answer
x = 40,920.95
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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.