Finding the Fourth Proportional to 102,096, 140,892.48 and 57,384
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Solution
The fourth proportional to 102,096, 140,892.48 and 57,384 is: 79,189.92
Step by Step Solution
- Step 1: Write the proportion equation
102,096 : 140,892.48 = 57,384 : x - Step 2: Convert to fraction form
102,096/140,892.48 = 57,384/x - Step 3: Cross multiply
102,096x = 140,892.48 × 57,384 - Step 4: Simplify right side
102,096x = 8,084,974,072.32 - Step 5: Solve for x
x = 8,084,974,072.32/102,096 - Step 6: Final answer
x = 79,189.92
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.