Finding the Fourth Proportional to 204,669.42, 282,464.56 and 114,040.14
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Solution
The fourth proportional to 204,669.42, 282,464.56 and 114,040.14 is: 157,386.96
Step by Step Solution
- Step 1: Write the proportion equation
204,669.42 : 282,464.56 = 114,040.14 : x - Step 2: Convert to fraction form
204,669.42/282,464.56 = 114,040.14/x - Step 3: Cross multiply
204,669.42x = 282,464.56 × 114,040.14 - Step 4: Simplify right side
204,669.42x = 32,212,297,967.44 - Step 5: Solve for x
x = 32,212,297,967.44/204,669.42 - Step 6: Final answer
x = 157,386.96
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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.