Finding the Fourth Proportional to 189,142.26, 283,754.92 and 56,032.94
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Solution
The fourth proportional to 189,142.26, 283,754.92 and 56,032.94 is: 84,061.71
Step by Step Solution
- Step 1: Write the proportion equation
189,142.26 : 283,754.92 = 56,032.94 : x - Step 2: Convert to fraction form
189,142.26/283,754.92 = 56,032.94/x - Step 3: Cross multiply
189,142.26x = 283,754.92 × 56,032.94 - Step 4: Simplify right side
189,142.26x = 15,899,622,407.06 - Step 5: Solve for x
x = 15,899,622,407.06/189,142.26 - Step 6: Final answer
x = 84,061.71
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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.