Finding the Fourth Proportional to 97,103,496.20, 145,676,239.50 and 51,658,685.96
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Solution
The fourth proportional to 97,103,496.20, 145,676,239.50 and 51,658,685.96 is: 77,499,198.30
Step by Step Solution
- Step 1: Write the proportion equation
97,103,496.20 : 145,676,239.50 = 51,658,685.96 : x - Step 2: Convert to fraction form
97,103,496.20/145,676,239.50 = 51,658,685.96/x - Step 3: Cross multiply
97,103,496.20x = 145,676,239.50 × 51,658,685.96 - Step 4: Simplify right side
97,103,496.20x = 7,525,443,107,435,866 - Step 5: Solve for x
x = 7,525,443,107,435,866/97,103,496.20 - Step 6: Final answer
x = 77,499,198.30
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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.