Finding the Fourth Proportional to 207,178,123.20, 310,767,184.80 and 99,682,699.20
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Solution
The fourth proportional to 207,178,123.20, 310,767,184.80 and 99,682,699.20 is: 149,524,048.80
Step by Step Solution
- Step 1: Write the proportion equation
207,178,123.20 : 310,767,184.80 = 99,682,699.20 : x - Step 2: Convert to fraction form
207,178,123.20/310,767,184.80 = 99,682,699.20/x - Step 3: Cross multiply
207,178,123.20x = 310,767,184.80 × 99,682,699.20 - Step 4: Simplify right side
207,178,123.20x = 30,978,111,803,649,216 - Step 5: Solve for x
x = 30,978,111,803,649,216/207,178,123.20 - Step 6: Final answer
x = 149,524,048.80
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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.