Finding the Fourth Proportional to 284,114.64, 426,060.56 and 106,524.84
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Solution
The fourth proportional to 284,114.64, 426,060.56 and 106,524.84 is: 159,745.49
Step by Step Solution
- Step 1: Write the proportion equation
284,114.64 : 426,060.56 = 106,524.84 : x - Step 2: Convert to fraction form
284,114.64/426,060.56 = 106,524.84/x - Step 3: Cross multiply
284,114.64x = 426,060.56 × 106,524.84 - Step 4: Simplify right side
284,114.64x = 45,386,032,984.31 - Step 5: Solve for x
x = 45,386,032,984.31/284,114.64 - Step 6: Final answer
x = 159,745.49
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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.