Finding the Fourth Proportional to 175,896.16, 263,973.84 and 109,434.08
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Solution
The fourth proportional to 175,896.16, 263,973.84 and 109,434.08 is: 164,231.75
Step by Step Solution
- Step 1: Write the proportion equation
175,896.16 : 263,973.84 = 109,434.08 : x - Step 2: Convert to fraction form
175,896.16/263,973.84 = 109,434.08/x - Step 3: Cross multiply
175,896.16x = 263,973.84 × 109,434.08 - Step 4: Simplify right side
175,896.16x = 28,887,734,324.47 - Step 5: Solve for x
x = 28,887,734,324.47/175,896.16 - Step 6: Final answer
x = 164,231.75
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1.5x scale
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.