Finding the Fourth Proportional to 176,178,228.20, 264,267,342.30 and 160,022,421.80
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Solution
The fourth proportional to 176,178,228.20, 264,267,342.30 and 160,022,421.80 is: 240,033,632.70
Step by Step Solution
- Step 1: Write the proportion equation
176,178,228.20 : 264,267,342.30 = 160,022,421.80 : x - Step 2: Convert to fraction form
176,178,228.20/264,267,342.30 = 160,022,421.80/x - Step 3: Cross multiply
176,178,228.20x = 264,267,342.30 × 160,022,421.80 - Step 4: Simplify right side
176,178,228.20x = 42,288,700,117,495,584 - Step 5: Solve for x
x = 42,288,700,117,495,584/176,178,228.20 - Step 6: Final answer
x = 240,033,632.70
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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.