Finding the Fourth Proportional to 106,997,023.20, 160,495,534.80 and 68,733,271.20
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Solution
The fourth proportional to 106,997,023.20, 160,495,534.80 and 68,733,271.20 is: 103,099,906.80
Step by Step Solution
- Step 1: Write the proportion equation
106,997,023.20 : 160,495,534.80 = 68,733,271.20 : x - Step 2: Convert to fraction form
106,997,023.20/160,495,534.80 = 68,733,271.20/x - Step 3: Cross multiply
106,997,023.20x = 160,495,534.80 × 68,733,271.20 - Step 4: Simplify right side
106,997,023.20x = 11,031,383,119,797,440 - Step 5: Solve for x
x = 11,031,383,119,797,440/106,997,023.20 - Step 6: Final answer
x = 103,099,906.80
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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.