Finding the Fourth Proportional to 120,138.24, 180,253.44 and 46,272
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Solution
The fourth proportional to 120,138.24, 180,253.44 and 46,272 is: 69,425.75
Step by Step Solution
- Step 1: Write the proportion equation
120,138.24 : 180,253.44 = 46,272 : x - Step 2: Convert to fraction form
120,138.24/180,253.44 = 46,272/x - Step 3: Cross multiply
120,138.24x = 180,253.44 × 46,272 - Step 4: Simplify right side
120,138.24x = 8,340,687,175.68 - Step 5: Solve for x
x = 8,340,687,175.68/120,138.24 - Step 6: Final answer
x = 69,425.75
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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.