Finding the Fourth Proportional to 282,771.98, 424,046.37 and 114,260.54
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Solution
The fourth proportional to 282,771.98, 424,046.37 and 114,260.54 is: 171,345.72
Step by Step Solution
- Step 1: Write the proportion equation
282,771.98 : 424,046.37 = 114,260.54 : x - Step 2: Convert to fraction form
282,771.98/424,046.37 = 114,260.54/x - Step 3: Cross multiply
282,771.98x = 424,046.37 × 114,260.54 - Step 4: Simplify right side
282,771.98x = 48,451,767,221.24 - Step 5: Solve for x
x = 48,451,767,221.24/282,771.98 - Step 6: Final answer
x = 171,345.72
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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.