Finding the Fourth Proportional to 205,137, 283,089.42 and 115,713
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Solution
The fourth proportional to 205,137, 283,089.42 and 115,713 is: 159,684.14
Step by Step Solution
- Step 1: Write the proportion equation
205,137 : 283,089.42 = 115,713 : x - Step 2: Convert to fraction form
205,137/283,089.42 = 115,713/x - Step 3: Cross multiply
205,137x = 283,089.42 × 115,713 - Step 4: Simplify right side
205,137x = 32,757,126,056.46 - Step 5: Solve for x
x = 32,757,126,056.46/205,137 - Step 6: Final answer
x = 159,684.14
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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.