Finding the Fourth Proportional to 209,393.32, 313,970.94 and 142,914
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Solution
The fourth proportional to 209,393.32, 313,970.94 and 142,914 is: 214,289.75
Step by Step Solution
- Step 1: Write the proportion equation
209,393.32 : 313,970.94 = 142,914 : x - Step 2: Convert to fraction form
209,393.32/313,970.94 = 142,914/x - Step 3: Cross multiply
209,393.32x = 313,970.94 × 142,914 - Step 4: Simplify right side
209,393.32x = 44,870,842,919.16 - Step 5: Solve for x
x = 44,870,842,919.16/209,393.32 - Step 6: Final answer
x = 214,289.75
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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.