Finding the Fourth Proportional to 205,813.12, 283,749.84 and 148,404.40
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Solution
The fourth proportional to 205,813.12, 283,749.84 and 148,404.40 is: 204,601.75
Step by Step Solution
- Step 1: Write the proportion equation
205,813.12 : 283,749.84 = 148,404.40 : x - Step 2: Convert to fraction form
205,813.12/283,749.84 = 148,404.40/x - Step 3: Cross multiply
205,813.12x = 283,749.84 × 148,404.40 - Step 4: Simplify right side
205,813.12x = 42,109,724,755.30 - Step 5: Solve for x
x = 42,109,724,755.30/205,813.12 - Step 6: Final answer
x = 204,601.75
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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.