Finding the Fourth Proportional to 205,124.23, 283,071.70 and 114,480.19
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Solution
The fourth proportional to 205,124.23, 283,071.70 and 114,480.19 is: 157,982.81
Step by Step Solution
- Step 1: Write the proportion equation
205,124.23 : 283,071.70 = 114,480.19 : x - Step 2: Convert to fraction form
205,124.23/283,071.70 = 114,480.19/x - Step 3: Cross multiply
205,124.23x = 283,071.70 × 114,480.19 - Step 4: Simplify right side
205,124.23x = 32,406,101,999.62 - Step 5: Solve for x
x = 32,406,101,999.62/205,124.23 - Step 6: Final answer
x = 157,982.81
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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.