Finding the Fourth Proportional to 212,816.29, 293,677.37 and 116,017.84
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Solution
The fourth proportional to 212,816.29, 293,677.37 and 116,017.84 is: 160,099.65
Step by Step Solution
- Step 1: Write the proportion equation
212,816.29 : 293,677.37 = 116,017.84 : x - Step 2: Convert to fraction form
212,816.29/293,677.37 = 116,017.84/x - Step 3: Cross multiply
212,816.29x = 293,677.37 × 116,017.84 - Step 4: Simplify right side
212,816.29x = 34,071,814,124.28 - Step 5: Solve for x
x = 34,071,814,124.28/212,816.29 - Step 6: Final answer
x = 160,099.65
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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.