Finding the Fourth Proportional to 106,192.36, 159,199.26 and 71,024.68
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Solution
The fourth proportional to 106,192.36, 159,199.26 and 71,024.68 is: 106,477.31
Step by Step Solution
- Step 1: Write the proportion equation
106,192.36 : 159,199.26 = 71,024.68 : x - Step 2: Convert to fraction form
106,192.36/159,199.26 = 71,024.68/x - Step 3: Cross multiply
106,192.36x = 159,199.26 × 71,024.68 - Step 4: Simplify right side
106,192.36x = 11,307,076,497.74 - Step 5: Solve for x
x = 11,307,076,497.74/106,192.36 - Step 6: Final answer
x = 106,477.31
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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.