Finding the Fourth Proportional to 146,142.24, 219,283.02 and 101,232.81
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Solution
The fourth proportional to 146,142.24, 219,283.02 and 101,232.81 is: 151,897.47
Step by Step Solution
- Step 1: Write the proportion equation
146,142.24 : 219,283.02 = 101,232.81 : x - Step 2: Convert to fraction form
146,142.24/219,283.02 = 101,232.81/x - Step 3: Cross multiply
146,142.24x = 219,283.02 × 101,232.81 - Step 4: Simplify right side
146,142.24x = 22,198,636,299.89 - Step 5: Solve for x
x = 22,198,636,299.89/146,142.24 - Step 6: Final answer
x = 151,897.47
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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.