Finding the Fourth Proportional to 214,798.24, 296,421.84 and 119,302.48
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Solution
The fourth proportional to 214,798.24, 296,421.84 and 119,302.48 is: 164,637.57
Step by Step Solution
- Step 1: Write the proportion equation
214,798.24 : 296,421.84 = 119,302.48 : x - Step 2: Convert to fraction form
214,798.24/296,421.84 = 119,302.48/x - Step 3: Cross multiply
214,798.24x = 296,421.84 × 119,302.48 - Step 4: Simplify right side
214,798.24x = 35,363,860,638.16 - Step 5: Solve for x
x = 35,363,860,638.16/214,798.24 - Step 6: Final answer
x = 164,637.57
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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.