Finding the Fourth Proportional to 230,813.24, 346,258.74 and 106,151
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Solution
The fourth proportional to 230,813.24, 346,258.74 and 106,151 is: 159,244.38
Step by Step Solution
- Step 1: Write the proportion equation
230,813.24 : 346,258.74 = 106,151 : x - Step 2: Convert to fraction form
230,813.24/346,258.74 = 106,151/x - Step 3: Cross multiply
230,813.24x = 346,258.74 × 106,151 - Step 4: Simplify right side
230,813.24x = 36,755,711,509.74 - Step 5: Solve for x
x = 36,755,711,509.74/230,813.24 - Step 6: Final answer
x = 159,244.38
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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.