Finding the Fourth Proportional to 106,102,117.08, 146,420,899.02 and 59,058,176.09
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Solution
The fourth proportional to 106,102,117.08, 146,420,899.02 and 59,058,176.09 is: 81,500,270.45
Step by Step Solution
- Step 1: Write the proportion equation
106,102,117.08 : 146,420,899.02 = 59,058,176.09 : x - Step 2: Convert to fraction form
106,102,117.08/146,420,899.02 = 59,058,176.09/x - Step 3: Cross multiply
106,102,117.08x = 146,420,899.02 × 59,058,176.09 - Step 4: Simplify right side
106,102,117.08x = 8,647,351,236,847,165 - Step 5: Solve for x
x = 8,647,351,236,847,165/106,102,117.08 - Step 6: Final answer
x = 81,500,270.45
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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.