Finding the Fourth Proportional to 120,677.76, 180,978.24 and 50,544
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Solution
The fourth proportional to 120,677.76, 180,978.24 and 50,544 is: 75,799.92
Step by Step Solution
- Step 1: Write the proportion equation
120,677.76 : 180,978.24 = 50,544 : x - Step 2: Convert to fraction form
120,677.76/180,978.24 = 50,544/x - Step 3: Cross multiply
120,677.76x = 180,978.24 × 50,544 - Step 4: Simplify right side
120,677.76x = 9,147,364,162.56 - Step 5: Solve for x
x = 9,147,364,162.56/120,677.76 - Step 6: Final answer
x = 75,799.92
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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.