Finding the Fourth Proportional to 204,201.48, 281,756.74 and 119,302.14
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Solution
The fourth proportional to 204,201.48, 281,756.74 and 119,302.14 is: 164,612.82
Step by Step Solution
- Step 1: Write the proportion equation
204,201.48 : 281,756.74 = 119,302.14 : x - Step 2: Convert to fraction form
204,201.48/281,756.74 = 119,302.14/x - Step 3: Cross multiply
204,201.48x = 281,756.74 × 119,302.14 - Step 4: Simplify right side
204,201.48x = 33,614,182,041.42 - Step 5: Solve for x
x = 33,614,182,041.42/204,201.48 - Step 6: Final answer
x = 164,612.82
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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.