Finding the Fourth Proportional to 130,214.14, 195,267.75 and 41,443.81
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Solution
The fourth proportional to 130,214.14, 195,267.75 and 41,443.81 is: 62,148.70
Step by Step Solution
- Step 1: Write the proportion equation
130,214.14 : 195,267.75 = 41,443.81 : x - Step 2: Convert to fraction form
130,214.14/195,267.75 = 41,443.81/x - Step 3: Cross multiply
130,214.14x = 195,267.75 × 41,443.81 - Step 4: Simplify right side
130,214.14x = 8,092,639,530.13 - Step 5: Solve for x
x = 8,092,639,530.13/130,214.14 - Step 6: Final answer
x = 62,148.70
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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.