Finding the Fourth Proportional to 232,306.36, 320,243.45 and 164,203.18
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Solution
The fourth proportional to 232,306.36, 320,243.45 and 164,203.18 is: 226,360.54
Step by Step Solution
- Step 1: Write the proportion equation
232,306.36 : 320,243.45 = 164,203.18 : x - Step 2: Convert to fraction form
232,306.36/320,243.45 = 164,203.18/x - Step 3: Cross multiply
232,306.36x = 320,243.45 × 164,203.18 - Step 4: Simplify right side
232,306.36x = 52,584,992,043.16 - Step 5: Solve for x
x = 52,584,992,043.16/232,306.36 - Step 6: Final answer
x = 226,360.54
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1.5x scale
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.