Finding the Fourth Proportional to 242,104.26, 363,214.70 and 75,892.26
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Solution
The fourth proportional to 242,104.26, 363,214.70 and 75,892.26 is: 113,856.67
Step by Step Solution
- Step 1: Write the proportion equation
242,104.26 : 363,214.70 = 75,892.26 : x - Step 2: Convert to fraction form
242,104.26/363,214.70 = 75,892.26/x - Step 3: Cross multiply
242,104.26x = 363,214.70 × 75,892.26 - Step 4: Simplify right side
242,104.26x = 27,565,184,448.22 - Step 5: Solve for x
x = 27,565,184,448.22/242,104.26 - Step 6: Final answer
x = 113,856.67
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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.