Finding the Fourth Proportional to 296,210.24, 408,768.44 and 160,243.80
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Solution
The fourth proportional to 296,210.24, 408,768.44 and 160,243.80 is: 221,135.53
Step by Step Solution
- Step 1: Write the proportion equation
296,210.24 : 408,768.44 = 160,243.80 : x - Step 2: Convert to fraction form
296,210.24/408,768.44 = 160,243.80/x - Step 3: Cross multiply
296,210.24x = 408,768.44 × 160,243.80 - Step 4: Simplify right side
296,210.24x = 65,502,608,145.67 - Step 5: Solve for x
x = 65,502,608,145.67/296,210.24 - Step 6: Final answer
x = 221,135.53
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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.