Finding the Fourth Proportional to 205,284,841.08, 283,292,982.54 and 122,778,624.12
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Solution
The fourth proportional to 205,284,841.08, 283,292,982.54 and 122,778,624.12 is: 169,434,442.58
Step by Step Solution
- Step 1: Write the proportion equation
205,284,841.08 : 283,292,982.54 = 122,778,624.12 : x - Step 2: Convert to fraction form
205,284,841.08/283,292,982.54 = 122,778,624.12/x - Step 3: Cross multiply
205,284,841.08x = 283,292,982.54 × 122,778,624.12 - Step 4: Simplify right side
205,284,841.08x = 34,782,322,619,112,388 - Step 5: Solve for x
x = 34,782,322,619,112,388/205,284,841.08 - Step 6: Final answer
x = 169,434,442.58
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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.