Finding the Fourth Proportional to 106,817.14, 160,226.25 and 27,931.54
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Solution
The fourth proportional to 106,817.14, 160,226.25 and 27,931.54 is: 41,897.45
Step by Step Solution
- Step 1: Write the proportion equation
106,817.14 : 160,226.25 = 27,931.54 : x - Step 2: Convert to fraction form
106,817.14/160,226.25 = 27,931.54/x - Step 3: Cross multiply
106,817.14x = 160,226.25 × 27,931.54 - Step 4: Simplify right side
106,817.14x = 4,475,365,910.93 - Step 5: Solve for x
x = 4,475,365,910.93/106,817.14 - Step 6: Final answer
x = 41,897.45
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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.