Finding the Fourth Proportional to 206,242,192.24, 284,610,278.39 and 113,422,700.09
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Solution
The fourth proportional to 206,242,192.24, 284,610,278.39 and 113,422,700.09 is: 156,521,155.53
Step by Step Solution
- Step 1: Write the proportion equation
206,242,192.24 : 284,610,278.39 = 113,422,700.09 : x - Step 2: Convert to fraction form
206,242,192.24/284,610,278.39 = 113,422,700.09/x - Step 3: Cross multiply
206,242,192.24x = 284,610,278.39 × 113,422,700.09 - Step 4: Simplify right side
206,242,192.24x = 32,281,266,248,504,788 - Step 5: Solve for x
x = 32,281,266,248,504,788/206,242,192.24 - Step 6: Final answer
x = 156,521,155.53
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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.