Finding the Fourth Proportional to 189,043,838.40, 283,565,757.60 and 120,963,403.20
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Solution
The fourth proportional to 189,043,838.40, 283,565,757.60 and 120,963,403.20 is: 181,445,104.80
Step by Step Solution
- Step 1: Write the proportion equation
189,043,838.40 : 283,565,757.60 = 120,963,403.20 : x - Step 2: Convert to fraction form
189,043,838.40/283,565,757.60 = 120,963,403.20/x - Step 3: Cross multiply
189,043,838.40x = 283,565,757.60 × 120,963,403.20 - Step 4: Simplify right side
189,043,838.40x = 34,301,079,070,282,268 - Step 5: Solve for x
x = 34,301,079,070,282,268/189,043,838.40 - Step 6: Final answer
x = 181,445,104.80
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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.