Finding the Fourth Proportional to 204,573.18, 282,311.09 and 113,946.54
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Solution
The fourth proportional to 204,573.18, 282,311.09 and 113,946.54 is: 157,246.28
Step by Step Solution
- Step 1: Write the proportion equation
204,573.18 : 282,311.09 = 113,946.54 : x - Step 2: Convert to fraction form
204,573.18/282,311.09 = 113,946.54/x - Step 3: Cross multiply
204,573.18x = 282,311.09 × 113,946.54 - Step 4: Simplify right side
204,573.18x = 32,168,371,909.13 - Step 5: Solve for x
x = 32,168,371,909.13/204,573.18 - Step 6: Final answer
x = 157,246.28
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1.5x scale
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.