Finding the Fourth Proportional to 151,782, 209,459.16 and 84,714
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Solution
The fourth proportional to 151,782, 209,459.16 and 84,714 is: 116,905.32
Step by Step Solution
- Step 1: Write the proportion equation
151,782 : 209,459.16 = 84,714 : x - Step 2: Convert to fraction form
151,782/209,459.16 = 84,714/x - Step 3: Cross multiply
151,782x = 209,459.16 × 84,714 - Step 4: Simplify right side
151,782x = 17,744,123,280.24 - Step 5: Solve for x
x = 17,744,123,280.24/151,782 - Step 6: Final answer
x = 116,905.32
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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.