Finding the Fourth Proportional to 206,823.80, 310,235.70 and 165,351.80
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Solution
The fourth proportional to 206,823.80, 310,235.70 and 165,351.80 is: 248,027.70
Step by Step Solution
- Step 1: Write the proportion equation
206,823.80 : 310,235.70 = 165,351.80 : x - Step 2: Convert to fraction form
206,823.80/310,235.70 = 165,351.80/x - Step 3: Cross multiply
206,823.80x = 310,235.70 × 165,351.80 - Step 4: Simplify right side
206,823.80x = 51,298,031,419.26 - Step 5: Solve for x
x = 51,298,031,419.26/206,823.80 - Step 6: Final answer
x = 248,027.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.