Finding the Fourth Proportional to 164,274.99, 226,582.54 and 106,807.76
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Solution
The fourth proportional to 164,274.99, 226,582.54 and 106,807.76 is: 147,318.68
Step by Step Solution
- Step 1: Write the proportion equation
164,274.99 : 226,582.54 = 106,807.76 : x - Step 2: Convert to fraction form
164,274.99/226,582.54 = 106,807.76/x - Step 3: Cross multiply
164,274.99x = 226,582.54 × 106,807.76 - Step 4: Simplify right side
164,274.99x = 24,200,774,577.19 - Step 5: Solve for x
x = 24,200,774,577.19/164,274.99 - Step 6: Final answer
x = 147,318.68
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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.