Finding the Fourth Proportional to 205,350.14, 283,380.06 and 114,707.42
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Solution
The fourth proportional to 205,350.14, 283,380.06 and 114,707.42 is: 158,294.49
Step by Step Solution
- Step 1: Write the proportion equation
205,350.14 : 283,380.06 = 114,707.42 : x - Step 2: Convert to fraction form
205,350.14/283,380.06 = 114,707.42/x - Step 3: Cross multiply
205,350.14x = 283,380.06 × 114,707.42 - Step 4: Simplify right side
205,350.14x = 32,505,795,562.05 - Step 5: Solve for x
x = 32,505,795,562.05/205,350.14 - Step 6: Final answer
x = 158,294.49
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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.