Finding the Fourth Proportional to 106,807.95, 160,198.02 and 27,928.26
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Solution
The fourth proportional to 106,807.95, 160,198.02 and 27,928.26 is: 41,888.75
Step by Step Solution
- Step 1: Write the proportion equation
106,807.95 : 160,198.02 = 27,928.26 : x - Step 2: Convert to fraction form
106,807.95/160,198.02 = 27,928.26/x - Step 3: Cross multiply
106,807.95x = 160,198.02 × 27,928.26 - Step 4: Simplify right side
106,807.95x = 4,474,051,954.05 - Step 5: Solve for x
x = 4,474,051,954.05/106,807.95 - Step 6: Final answer
x = 41,888.75
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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.