Finding the Fourth Proportional to 204,497.58, 282,206.04 and 113,851.21
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Solution
The fourth proportional to 204,497.58, 282,206.04 and 113,851.21 is: 157,114.32
Step by Step Solution
- Step 1: Write the proportion equation
204,497.58 : 282,206.04 = 113,851.21 : x - Step 2: Convert to fraction form
204,497.58/282,206.04 = 113,851.21/x - Step 3: Cross multiply
204,497.58x = 282,206.04 × 113,851.21 - Step 4: Simplify right side
204,497.58x = 32,129,499,123.31 - Step 5: Solve for x
x = 32,129,499,123.31/204,497.58 - Step 6: Final answer
x = 157,114.32
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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.