Finding the Fourth Proportional to 294,651.44, 442,009.77 and 105,155.99
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Solution
The fourth proportional to 294,651.44, 442,009.77 and 105,155.99 is: 157,745.62
Step by Step Solution
- Step 1: Write the proportion equation
294,651.44 : 442,009.77 = 105,155.99 : x - Step 2: Convert to fraction form
294,651.44/442,009.77 = 105,155.99/x - Step 3: Cross multiply
294,651.44x = 442,009.77 × 105,155.99 - Step 4: Simplify right side
294,651.44x = 46,479,974,428.24 - Step 5: Solve for x
x = 46,479,974,428.24/294,651.44 - Step 6: Final answer
x = 157,745.62
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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.