Finding the Fourth Proportional to 204,733.19, 282,381.41 and 135,697.80
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Solution
The fourth proportional to 204,733.19, 282,381.41 and 135,697.80 is: 187,163.28
Step by Step Solution
- Step 1: Write the proportion equation
204,733.19 : 282,381.41 = 135,697.80 : x - Step 2: Convert to fraction form
204,733.19/282,381.41 = 135,697.80/x - Step 3: Cross multiply
204,733.19x = 282,381.41 × 135,697.80 - Step 4: Simplify right side
204,733.19x = 38,318,536,097.90 - Step 5: Solve for x
x = 38,318,536,097.90/204,733.19 - Step 6: Final answer
x = 187,163.28
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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.