Finding the Fourth Proportional to 278,118.14, 383,800.70 and 157,283.14
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Solution
The fourth proportional to 278,118.14, 383,800.70 and 157,283.14 is: 217,049.41
Step by Step Solution
- Step 1: Write the proportion equation
278,118.14 : 383,800.70 = 157,283.14 : x - Step 2: Convert to fraction form
278,118.14/383,800.70 = 157,283.14/x - Step 3: Cross multiply
278,118.14x = 383,800.70 × 157,283.14 - Step 4: Simplify right side
278,118.14x = 60,365,379,230.20 - Step 5: Solve for x
x = 60,365,379,230.20/278,118.14 - Step 6: Final answer
x = 217,049.41
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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.