Finding the Fourth Proportional to 186,965,701.20, 280,448,551.80 and 106,344,133.20
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Solution
The fourth proportional to 186,965,701.20, 280,448,551.80 and 106,344,133.20 is: 159,516,199.80
Step by Step Solution
- Step 1: Write the proportion equation
186,965,701.20 : 280,448,551.80 = 106,344,133.20 : x - Step 2: Convert to fraction form
186,965,701.20/280,448,551.80 = 106,344,133.20/x - Step 3: Cross multiply
186,965,701.20x = 280,448,551.80 × 106,344,133.20 - Step 4: Simplify right side
186,965,701.20x = 29,824,058,148,366,300 - Step 5: Solve for x
x = 29,824,058,148,366,300/186,965,701.20 - Step 6: Final answer
x = 159,516,199.80
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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.