Finding the Fourth Proportional to 156,971.14, 235,456.71 and 46,163.14
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Solution
The fourth proportional to 156,971.14, 235,456.71 and 46,163.14 is: 69,244.71
Step by Step Solution
- Step 1: Write the proportion equation
156,971.14 : 235,456.71 = 46,163.14 : x - Step 2: Convert to fraction form
156,971.14/235,456.71 = 46,163.14/x - Step 3: Cross multiply
156,971.14x = 235,456.71 × 46,163.14 - Step 4: Simplify right side
156,971.14x = 10,869,421,067.67 - Step 5: Solve for x
x = 10,869,421,067.67/156,971.14 - Step 6: Final answer
x = 69,244.71
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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.