Finding the Fourth Proportional to 102,133,004.24, 152,300,005.76 and 101,211,839.84
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Solution
The fourth proportional to 102,133,004.24, 152,300,005.76 and 101,211,839.84 is: 150,926,371.99
Step by Step Solution
- Step 1: Write the proportion equation
102,133,004.24 : 152,300,005.76 = 101,211,839.84 : x - Step 2: Convert to fraction form
102,133,004.24/152,300,005.76 = 101,211,839.84/x - Step 3: Cross multiply
102,133,004.24x = 152,300,005.76 × 101,211,839.84 - Step 4: Simplify right side
102,133,004.24x = 15,414,563,790,612,198 - Step 5: Solve for x
x = 15,414,563,790,612,198/102,133,004.24 - Step 6: Final answer
x = 150,926,371.99
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.