Finding the Fourth Proportional to 296,204.18, 408,760.52 and 160,237.82
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Solution
The fourth proportional to 296,204.18, 408,760.52 and 160,237.82 is: 221,127.52
Step by Step Solution
- Step 1: Write the proportion equation
296,204.18 : 408,760.52 = 160,237.82 : x - Step 2: Convert to fraction form
296,204.18/408,760.52 = 160,237.82/x - Step 3: Cross multiply
296,204.18x = 408,760.52 × 160,237.82 - Step 4: Simplify right side
296,204.18x = 65,498,894,626.87 - Step 5: Solve for x
x = 65,498,894,626.87/296,204.18 - Step 6: Final answer
x = 221,127.52
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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.