Finding the Fourth Proportional to 204,793.84, 282,606.19 and 114,159.70
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Solution
The fourth proportional to 204,793.84, 282,606.19 and 114,159.70 is: 157,535.20
Step by Step Solution
- Step 1: Write the proportion equation
204,793.84 : 282,606.19 = 114,159.70 : x - Step 2: Convert to fraction form
204,793.84/282,606.19 = 114,159.70/x - Step 3: Cross multiply
204,793.84x = 282,606.19 × 114,159.70 - Step 4: Simplify right side
204,793.84x = 32,262,237,868.54 - Step 5: Solve for x
x = 32,262,237,868.54/204,793.84 - Step 6: Final answer
x = 157,535.20
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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.