Finding the Fourth Proportional to 106,114.65, 159,177.64 and 27,229.56
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Solution
The fourth proportional to 106,114.65, 159,177.64 and 27,229.56 is: 40,845.79
Step by Step Solution
- Step 1: Write the proportion equation
106,114.65 : 159,177.64 = 27,229.56 : x - Step 2: Convert to fraction form
106,114.65/159,177.64 = 27,229.56/x - Step 3: Cross multiply
106,114.65x = 159,177.64 × 27,229.56 - Step 4: Simplify right side
106,114.65x = 4,334,337,099.04 - Step 5: Solve for x
x = 4,334,337,099.04/106,114.65 - Step 6: Final answer
x = 40,845.79
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1.5x scale
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.