Finding the Fourth Proportional to 209,800.92, 314,530.56 and 97,551.84
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Solution
The fourth proportional to 209,800.92, 314,530.56 and 97,551.84 is: 146,248.33
Step by Step Solution
- Step 1: Write the proportion equation
209,800.92 : 314,530.56 = 97,551.84 : x - Step 2: Convert to fraction form
209,800.92/314,530.56 = 97,551.84/x - Step 3: Cross multiply
209,800.92x = 314,530.56 × 97,551.84 - Step 4: Simplify right side
209,800.92x = 30,683,034,864.23 - Step 5: Solve for x
x = 30,683,034,864.23/209,800.92 - Step 6: Final answer
x = 146,248.33
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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.