Finding the Fourth Proportional to 106,289,110.20, 159,433,665.30 and 97,219,183.80
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Solution
The fourth proportional to 106,289,110.20, 159,433,665.30 and 97,219,183.80 is: 145,828,775.70
Step by Step Solution
- Step 1: Write the proportion equation
106,289,110.20 : 159,433,665.30 = 97,219,183.80 : x - Step 2: Convert to fraction form
106,289,110.20/159,433,665.30 = 97,219,183.80/x - Step 3: Cross multiply
106,289,110.20x = 159,433,665.30 × 97,219,183.80 - Step 4: Simplify right side
106,289,110.20x = 15,500,010,810,708,382 - Step 5: Solve for x
x = 15,500,010,810,708,382/106,289,110.20 - Step 6: Final answer
x = 145,828,775.70
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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.