Finding the Fourth Proportional to 160,434,202.20, 240,651,303.30 and 149,592,805.80
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Solution
The fourth proportional to 160,434,202.20, 240,651,303.30 and 149,592,805.80 is: 224,389,208.70
Step by Step Solution
- Step 1: Write the proportion equation
160,434,202.20 : 240,651,303.30 = 149,592,805.80 : x - Step 2: Convert to fraction form
160,434,202.20/240,651,303.30 = 149,592,805.80/x - Step 3: Cross multiply
160,434,202.20x = 240,651,303.30 × 149,592,805.80 - Step 4: Simplify right side
160,434,202.20x = 35,999,703,680,073,804 - Step 5: Solve for x
x = 35,999,703,680,073,804/160,434,202.20 - Step 6: Final answer
x = 224,389,208.70
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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.