Finding the Fourth Proportional to 204,942.18, 282,821.76 and 114,304.08
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Solution
The fourth proportional to 204,942.18, 282,821.76 and 114,304.08 is: 157,740.50
Step by Step Solution
- Step 1: Write the proportion equation
204,942.18 : 282,821.76 = 114,304.08 : x - Step 2: Convert to fraction form
204,942.18/282,821.76 = 114,304.08/x - Step 3: Cross multiply
204,942.18x = 282,821.76 × 114,304.08 - Step 4: Simplify right side
204,942.18x = 32,327,681,080.78 - Step 5: Solve for x
x = 32,327,681,080.78/204,942.18 - Step 6: Final answer
x = 157,740.50
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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.