Finding the Fourth Proportional to 205,291.17, 283,267.26 and 114,643.80
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Solution
The fourth proportional to 205,291.17, 283,267.26 and 114,643.80 is: 158,189.15
Step by Step Solution
- Step 1: Write the proportion equation
205,291.17 : 283,267.26 = 114,643.80 : x - Step 2: Convert to fraction form
205,291.17/283,267.26 = 114,643.80/x - Step 3: Cross multiply
205,291.17x = 283,267.26 × 114,643.80 - Step 4: Simplify right side
205,291.17x = 32,474,835,101.99 - Step 5: Solve for x
x = 32,474,835,101.99/205,291.17 - Step 6: Final answer
x = 158,189.15
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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.