Finding the Fourth Proportional to 189,623,410.75, 261,701,575.41 and 107,122,509.91
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Solution
The fourth proportional to 189,623,410.75, 261,701,575.41 and 107,122,509.91 is: 147,841,078.77
Step by Step Solution
- Step 1: Write the proportion equation
189,623,410.75 : 261,701,575.41 = 107,122,509.91 : x - Step 2: Convert to fraction form
189,623,410.75/261,701,575.41 = 107,122,509.91/x - Step 3: Cross multiply
189,623,410.75x = 261,701,575.41 × 107,122,509.91 - Step 4: Simplify right side
189,623,410.75x = 28,034,129,605,320,336 - Step 5: Solve for x
x = 28,034,129,605,320,336/189,623,410.75 - Step 6: Final answer
x = 147,841,078.77
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.