Finding the Fourth Proportional to 275,343.19, 413,014.80 and 97,857.20
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Solution
The fourth proportional to 275,343.19, 413,014.80 and 97,857.20 is: 146,785.81
Step by Step Solution
- Step 1: Write the proportion equation
275,343.19 : 413,014.80 = 97,857.20 : x - Step 2: Convert to fraction form
275,343.19/413,014.80 = 97,857.20/x - Step 3: Cross multiply
275,343.19x = 413,014.80 × 97,857.20 - Step 4: Simplify right side
275,343.19x = 40,416,471,886.56 - Step 5: Solve for x
x = 40,416,471,886.56/275,343.19 - Step 6: Final answer
x = 146,785.81
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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.