Finding the Fourth Proportional to 120,182,180.96, 165,860,318.04 and 67,264,181.12
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Solution
The fourth proportional to 120,182,180.96, 165,860,318.04 and 67,264,181.12 is: 92,829,555.80
Step by Step Solution
- Step 1: Write the proportion equation
120,182,180.96 : 165,860,318.04 = 67,264,181.12 : x - Step 2: Convert to fraction form
120,182,180.96/165,860,318.04 = 67,264,181.12/x - Step 3: Cross multiply
120,182,180.96x = 165,860,318.04 × 67,264,181.12 - Step 4: Simplify right side
120,182,180.96x = 11,156,458,473,263,364 - Step 5: Solve for x
x = 11,156,458,473,263,364/120,182,180.96 - Step 6: Final answer
x = 92,829,555.80
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1.5x scale
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.