Finding the Fourth Proportional to 230,892.20, 346,289.70 and 97,776.80
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Solution
The fourth proportional to 230,892.20, 346,289.70 and 97,776.80 is: 146,644.62
Step by Step Solution
- Step 1: Write the proportion equation
230,892.20 : 346,289.70 = 97,776.80 : x - Step 2: Convert to fraction form
230,892.20/346,289.70 = 97,776.80/x - Step 3: Cross multiply
230,892.20x = 346,289.70 × 97,776.80 - Step 4: Simplify right side
230,892.20x = 33,859,098,738.96 - Step 5: Solve for x
x = 33,859,098,738.96/230,892.20 - Step 6: Final answer
x = 146,644.62
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1.5x scale
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.