Finding the Fourth Proportional to 145,947.21, 201,402.59 and 82,284.09
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Solution
The fourth proportional to 145,947.21, 201,402.59 and 82,284.09 is: 113,549.47
Step by Step Solution
- Step 1: Write the proportion equation
145,947.21 : 201,402.59 = 82,284.09 : x - Step 2: Convert to fraction form
145,947.21/201,402.59 = 82,284.09/x - Step 3: Cross multiply
145,947.21x = 201,402.59 × 82,284.09 - Step 4: Simplify right side
145,947.21x = 16,572,228,430.37 - Step 5: Solve for x
x = 16,572,228,430.37/145,947.21 - Step 6: Final answer
x = 113,549.47
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1.5x scale
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.