Finding the Fourth Proportional to 106,423.40, 159,635.10 and 97,821.80
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Solution
The fourth proportional to 106,423.40, 159,635.10 and 97,821.80 is: 146,732.70
Step by Step Solution
- Step 1: Write the proportion equation
106,423.40 : 159,635.10 = 97,821.80 : x - Step 2: Convert to fraction form
106,423.40/159,635.10 = 97,821.80/x - Step 3: Cross multiply
106,423.40x = 159,635.10 × 97,821.80 - Step 4: Simplify right side
106,423.40x = 15,615,792,825.18 - Step 5: Solve for x
x = 15,615,792,825.18/106,423.40 - Step 6: Final answer
x = 146,732.70
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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.