Finding the Fourth Proportional to 106,287,729.20, 159,431,593.80 and 97,217,802.80
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Solution
The fourth proportional to 106,287,729.20, 159,431,593.80 and 97,217,802.80 is: 145,826,704.20
Step by Step Solution
- Step 1: Write the proportion equation
106,287,729.20 : 159,431,593.80 = 97,217,802.80 : x - Step 2: Convert to fraction form
106,287,729.20/159,431,593.80 = 97,217,802.80/x - Step 3: Cross multiply
106,287,729.20x = 159,431,593.80 × 97,217,802.80 - Step 4: Simplify right side
106,287,729.20x = 15,499,589,246,138,104 - Step 5: Solve for x
x = 15,499,589,246,138,104/106,287,729.20 - Step 6: Final answer
x = 145,826,704.20
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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.