Finding the Fourth Proportional to 120,707.83, 166,501.02 and 77,743
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Solution
The fourth proportional to 120,707.83, 166,501.02 and 77,743 is: 107,236.53
Step by Step Solution
- Step 1: Write the proportion equation
120,707.83 : 166,501.02 = 77,743 : x - Step 2: Convert to fraction form
120,707.83/166,501.02 = 77,743/x - Step 3: Cross multiply
120,707.83x = 166,501.02 × 77,743 - Step 4: Simplify right side
120,707.83x = 12,944,288,797.86 - Step 5: Solve for x
x = 12,944,288,797.86/120,707.83 - Step 6: Final answer
x = 107,236.53
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.