Finding the Fourth Proportional to 106,741,123.12, 160,080,274.92 and 48,415,057.84
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Solution
The fourth proportional to 106,741,123.12, 160,080,274.92 and 48,415,057.84 is: 72,608,340.09
Step by Step Solution
- Step 1: Write the proportion equation
106,741,123.12 : 160,080,274.92 = 48,415,057.84 : x - Step 2: Convert to fraction form
106,741,123.12/160,080,274.92 = 48,415,057.84/x - Step 3: Cross multiply
106,741,123.12x = 160,080,274.92 × 48,415,057.84 - Step 4: Simplify right side
106,741,123.12x = 7,750,295,769,294,901 - Step 5: Solve for x
x = 7,750,295,769,294,901/106,741,123.12 - Step 6: Final answer
x = 72,608,340.09
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.