Finding the Fourth Proportional to 232,432.20, 347,768.28 and 137,713.14
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Solution
The fourth proportional to 232,432.20, 347,768.28 and 137,713.14 is: 206,048.31
Step by Step Solution
- Step 1: Write the proportion equation
232,432.20 : 347,768.28 = 137,713.14 : x - Step 2: Convert to fraction form
232,432.20/347,768.28 = 137,713.14/x - Step 3: Cross multiply
232,432.20x = 347,768.28 × 137,713.14 - Step 4: Simplify right side
232,432.20x = 47,892,261,831.20 - Step 5: Solve for x
x = 47,892,261,831.20/232,432.20 - Step 6: Final answer
x = 206,048.31
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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.