Finding the Fourth Proportional to 205,074.68, 283,009.88 and 119,027.24
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Solution
The fourth proportional to 205,074.68, 283,009.88 and 119,027.24 is: 164,261.55
Step by Step Solution
- Step 1: Write the proportion equation
205,074.68 : 283,009.88 = 119,027.24 : x - Step 2: Convert to fraction form
205,074.68/283,009.88 = 119,027.24/x - Step 3: Cross multiply
205,074.68x = 283,009.88 × 119,027.24 - Step 4: Simplify right side
205,074.68x = 33,685,884,909.13 - Step 5: Solve for x
x = 33,685,884,909.13/205,074.68 - Step 6: Final answer
x = 164,261.55
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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.