Finding the Fourth Proportional to 119,542.84, 164,814.96 and 97,952.32
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Solution
The fourth proportional to 119,542.84, 164,814.96 and 97,952.32 is: 135,047.88
Step by Step Solution
- Step 1: Write the proportion equation
119,542.84 : 164,814.96 = 97,952.32 : x - Step 2: Convert to fraction form
119,542.84/164,814.96 = 97,952.32/x - Step 3: Cross multiply
119,542.84x = 164,814.96 × 97,952.32 - Step 4: Simplify right side
119,542.84x = 16,144,007,702.71 - Step 5: Solve for x
x = 16,144,007,702.71/119,542.84 - Step 6: Final answer
x = 135,047.88
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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.