Finding the Fourth Proportional to 106,484,795.67, 159,783,430.76 and 75,560,279.63
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Solution
The fourth proportional to 106,484,795.67, 159,783,430.76 and 75,560,279.63 is: 113,380,324.70
Step by Step Solution
- Step 1: Write the proportion equation
106,484,795.67 : 159,783,430.76 = 75,560,279.63 : x - Step 2: Convert to fraction form
106,484,795.67/159,783,430.76 = 75,560,279.63/x - Step 3: Cross multiply
106,484,795.67x = 159,783,430.76 × 75,560,279.63 - Step 4: Simplify right side
106,484,795.67x = 12,073,280,708,466,342 - Step 5: Solve for x
x = 12,073,280,708,466,342/106,484,795.67 - Step 6: Final answer
x = 113,380,324.70
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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.