Finding the Fourth Proportional to 204,524.16, 282,237.12 and 113,884.80
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Solution
The fourth proportional to 204,524.16, 282,237.12 and 113,884.80 is: 157,157.56
Step by Step Solution
- Step 1: Write the proportion equation
204,524.16 : 282,237.12 = 113,884.80 : x - Step 2: Convert to fraction form
204,524.16/282,237.12 = 113,884.80/x - Step 3: Cross multiply
204,524.16x = 282,237.12 × 113,884.80 - Step 4: Simplify right side
204,524.16x = 32,142,517,963.78 - Step 5: Solve for x
x = 32,142,517,963.78/204,524.16 - Step 6: Final answer
x = 157,157.56
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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.