Finding the Fourth Proportional to 205,193.24, 282,943.46 and 133,440.20
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Solution
The fourth proportional to 205,193.24, 282,943.46 and 133,440.20 is: 184,002.32
Step by Step Solution
- Step 1: Write the proportion equation
205,193.24 : 282,943.46 = 133,440.20 : x - Step 2: Convert to fraction form
205,193.24/282,943.46 = 133,440.20/x - Step 3: Cross multiply
205,193.24x = 282,943.46 × 133,440.20 - Step 4: Simplify right side
205,193.24x = 37,756,031,891.09 - Step 5: Solve for x
x = 37,756,031,891.09/205,193.24 - Step 6: Final answer
x = 184,002.32
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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.