Finding the Fourth Proportional to 105,407.98, 145,364.43 and 83,969
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Solution
The fourth proportional to 105,407.98, 145,364.43 and 83,969 is: 115,798.69
Step by Step Solution
- Step 1: Write the proportion equation
105,407.98 : 145,364.43 = 83,969 : x - Step 2: Convert to fraction form
105,407.98/145,364.43 = 83,969/x - Step 3: Cross multiply
105,407.98x = 145,364.43 × 83,969 - Step 4: Simplify right side
105,407.98x = 12,206,105,822.67 - Step 5: Solve for x
x = 12,206,105,822.67/105,407.98 - Step 6: Final answer
x = 115,798.69
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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.