Finding the Fourth Proportional to 164,106.30, 226,542.24 and 96,113.82
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Solution
The fourth proportional to 164,106.30, 226,542.24 and 96,113.82 is: 132,681.32
Step by Step Solution
- Step 1: Write the proportion equation
164,106.30 : 226,542.24 = 96,113.82 : x - Step 2: Convert to fraction form
164,106.30/226,542.24 = 96,113.82/x - Step 3: Cross multiply
164,106.30x = 226,542.24 × 96,113.82 - Step 4: Simplify right side
164,106.30x = 21,773,840,077.76 - Step 5: Solve for x
x = 21,773,840,077.76/164,106.30 - Step 6: Final answer
x = 132,681.32
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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.