Finding the Fourth Proportional to 106,945,160.49, 160,398,778.05 and 48,639,181.41
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Solution
The fourth proportional to 106,945,160.49, 160,398,778.05 and 48,639,181.41 is: 72,950,147.79
Step by Step Solution
- Step 1: Write the proportion equation
106,945,160.49 : 160,398,778.05 = 48,639,181.41 : x - Step 2: Convert to fraction form
106,945,160.49/160,398,778.05 = 48,639,181.41/x - Step 3: Cross multiply
106,945,160.49x = 160,398,778.05 × 48,639,181.41 - Step 4: Simplify right side
106,945,160.49x = 7,801,665,263,516,276 - Step 5: Solve for x
x = 7,801,665,263,516,276/106,945,160.49 - Step 6: Final answer
x = 72,950,147.79
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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.