Finding the Fourth Proportional to 109,405.80, 164,108.70 and 102,024.68
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Solution
The fourth proportional to 109,405.80, 164,108.70 and 102,024.68 is: 153,037.02
Step by Step Solution
- Step 1: Write the proportion equation
109,405.80 : 164,108.70 = 102,024.68 : x - Step 2: Convert to fraction form
109,405.80/164,108.70 = 102,024.68/x - Step 3: Cross multiply
109,405.80x = 164,108.70 × 102,024.68 - Step 4: Simplify right side
109,405.80x = 16,743,137,602.72 - Step 5: Solve for x
x = 16,743,137,602.72/109,405.80 - Step 6: Final answer
x = 153,037.02
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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.