Finding the Fourth Proportional to 206,136,362.80, 284,475,107.82 and 121,348,182.52
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Solution
The fourth proportional to 206,136,362.80, 284,475,107.82 and 121,348,182.52 is: 167,464,569.75
Step by Step Solution
- Step 1: Write the proportion equation
206,136,362.80 : 284,475,107.82 = 121,348,182.52 : x - Step 2: Convert to fraction form
206,136,362.80/284,475,107.82 = 121,348,182.52/x - Step 3: Cross multiply
206,136,362.80x = 284,475,107.82 × 121,348,182.52 - Step 4: Simplify right side
206,136,362.80x = 34,520,537,306,138,036 - Step 5: Solve for x
x = 34,520,537,306,138,036/206,136,362.80 - Step 6: Final answer
x = 167,464,569.75
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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.