Finding the Fourth Proportional to 214,046.08, 295,582.16 and 160,237.68
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Solution
The fourth proportional to 214,046.08, 295,582.16 and 160,237.68 is: 221,276.65
Step by Step Solution
- Step 1: Write the proportion equation
214,046.08 : 295,582.16 = 160,237.68 : x - Step 2: Convert to fraction form
214,046.08/295,582.16 = 160,237.68/x - Step 3: Cross multiply
214,046.08x = 295,582.16 × 160,237.68 - Step 4: Simplify right side
214,046.08x = 47,363,399,567.79 - Step 5: Solve for x
x = 47,363,399,567.79/214,046.08 - Step 6: Final answer
x = 221,276.65
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1.5x scale
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.