Finding the Fourth Proportional to 204,840.96, 282,679.68 and 114,195.84
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Solution
The fourth proportional to 204,840.96, 282,679.68 and 114,195.84 is: 157,589.79
Step by Step Solution
- Step 1: Write the proportion equation
204,840.96 : 282,679.68 = 114,195.84 : x - Step 2: Convert to fraction form
204,840.96/282,679.68 = 114,195.84/x - Step 3: Cross multiply
204,840.96x = 282,679.68 × 114,195.84 - Step 4: Simplify right side
204,840.96x = 32,280,843,508.53 - Step 5: Solve for x
x = 32,280,843,508.53/204,840.96 - Step 6: Final answer
x = 157,589.79
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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.