Finding the Fourth Proportional to 512,004.75, 768,007.14 and 138,027.75
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Solution
The fourth proportional to 512,004.75, 768,007.14 and 138,027.75 is: 207,041.63
Step by Step Solution
- Step 1: Write the proportion equation
512,004.75 : 768,007.14 = 138,027.75 : x - Step 2: Convert to fraction form
512,004.75/768,007.14 = 138,027.75/x - Step 3: Cross multiply
512,004.75x = 768,007.14 × 138,027.75 - Step 4: Simplify right side
512,004.75x = 106,006,297,518.14 - Step 5: Solve for x
x = 106,006,297,518.14/512,004.75 - Step 6: Final answer
x = 207,041.63
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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.