Finding the Fourth Proportional to 214,733.81, 322,035.10 and 102,354.82
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Solution
The fourth proportional to 214,733.81, 322,035.10 and 102,354.82 is: 153,500.95
Step by Step Solution
- Step 1: Write the proportion equation
214,733.81 : 322,035.10 = 102,354.82 : x - Step 2: Convert to fraction form
214,733.81/322,035.10 = 102,354.82/x - Step 3: Cross multiply
214,733.81x = 322,035.10 × 102,354.82 - Step 4: Simplify right side
214,733.81x = 32,961,844,694.18 - Step 5: Solve for x
x = 32,961,844,694.18/214,733.81 - Step 6: Final answer
x = 153,500.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.