Finding the Fourth Proportional to 205,010.28, 282,915.72 and 114,372
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Solution
The fourth proportional to 205,010.28, 282,915.72 and 114,372 is: 157,834.22
Step by Step Solution
- Step 1: Write the proportion equation
205,010.28 : 282,915.72 = 114,372 : x - Step 2: Convert to fraction form
205,010.28/282,915.72 = 114,372/x - Step 3: Cross multiply
205,010.28x = 282,915.72 × 114,372 - Step 4: Simplify right side
205,010.28x = 32,357,636,727.84 - Step 5: Solve for x
x = 32,357,636,727.84/205,010.28 - Step 6: Final answer
x = 157,834.22
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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.