Finding the Fourth Proportional to 196,800,250.53, 271,582,557.77 and 107,492,176.12
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Solution
The fourth proportional to 196,800,250.53, 271,582,557.77 and 107,492,176.12 is: 148,338,226.46
Step by Step Solution
- Step 1: Write the proportion equation
196,800,250.53 : 271,582,557.77 = 107,492,176.12 : x - Step 2: Convert to fraction form
196,800,250.53/271,582,557.77 = 107,492,176.12/x - Step 3: Cross multiply
196,800,250.53x = 271,582,557.77 × 107,492,176.12 - Step 4: Simplify right side
196,800,250.53x = 29,193,000,130,522,688 - Step 5: Solve for x
x = 29,193,000,130,522,688/196,800,250.53 - Step 6: Final answer
x = 148,338,226.46
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.