Finding the Fourth Proportional to 205,226.64, 283,210.01 and 114,584.00
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Solution
The fourth proportional to 205,226.64, 283,210.01 and 114,584.00 is: 158,124.38
Step by Step Solution
- Step 1: Write the proportion equation
205,226.64 : 283,210.01 = 114,584.00 : x - Step 2: Convert to fraction form
205,226.64/283,210.01 = 114,584.00/x - Step 3: Cross multiply
205,226.64x = 283,210.01 × 114,584.00 - Step 4: Simplify right side
205,226.64x = 32,451,334,226.56 - Step 5: Solve for x
x = 32,451,334,226.56/205,226.64 - Step 6: Final answer
x = 158,124.38
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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.