Finding the Fourth Proportional to 106,109,514.43, 159,164,271.65 and 29,432,542.66
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Solution
The fourth proportional to 106,109,514.43, 159,164,271.65 and 29,432,542.66 is: 44,148,813.99
Step by Step Solution
- Step 1: Write the proportion equation
106,109,514.43 : 159,164,271.65 = 29,432,542.66 : x - Step 2: Convert to fraction form
106,109,514.43/159,164,271.65 = 29,432,542.66/x - Step 3: Cross multiply
106,109,514.43x = 159,164,271.65 × 29,432,542.66 - Step 4: Simplify right side
106,109,514.43x = 4,684,609,214,962,124 - Step 5: Solve for x
x = 4,684,609,214,962,124/106,109,514.43 - Step 6: Final answer
x = 44,148,813.99
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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.