Finding the Fourth Proportional to 205,056.14, 282,984.23 and 119,008.62
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Solution
The fourth proportional to 205,056.14, 282,984.23 and 119,008.62 is: 164,235.82
Step by Step Solution
- Step 1: Write the proportion equation
205,056.14 : 282,984.23 = 119,008.62 : x - Step 2: Convert to fraction form
205,056.14/282,984.23 = 119,008.62/x - Step 3: Cross multiply
205,056.14x = 282,984.23 × 119,008.62 - Step 4: Simplify right side
205,056.14x = 33,677,562,099.02 - Step 5: Solve for x
x = 33,677,562,099.02/205,056.14 - Step 6: Final answer
x = 164,235.82
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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.