Finding the Fourth Proportional to 204,407.14, 282,143.86 and 118,387.26
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Solution
The fourth proportional to 204,407.14, 282,143.86 and 118,387.26 is: 163,410.33
Step by Step Solution
- Step 1: Write the proportion equation
204,407.14 : 282,143.86 = 118,387.26 : x - Step 2: Convert to fraction form
204,407.14/282,143.86 = 118,387.26/x - Step 3: Cross multiply
204,407.14x = 282,143.86 × 118,387.26 - Step 4: Simplify right side
204,407.14x = 33,402,238,511.22 - Step 5: Solve for x
x = 33,402,238,511.22/204,407.14 - Step 6: Final answer
x = 163,410.33
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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.