Finding the Fourth Proportional to 205,497.17, 283,574.71 and 114,835.09
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Solution
The fourth proportional to 205,497.17, 283,574.71 and 114,835.09 is: 158,466.06
Step by Step Solution
- Step 1: Write the proportion equation
205,497.17 : 283,574.71 = 114,835.09 : x - Step 2: Convert to fraction form
205,497.17/283,574.71 = 114,835.09/x - Step 3: Cross multiply
205,497.17x = 283,574.71 × 114,835.09 - Step 4: Simplify right side
205,497.17x = 32,564,327,344.57 - Step 5: Solve for x
x = 32,564,327,344.57/205,497.17 - Step 6: Final answer
x = 158,466.06
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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.