Finding the Fourth Proportional to 176,178,203.80, 264,267,305.70 and 162,573,314.20
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Solution
The fourth proportional to 176,178,203.80, 264,267,305.70 and 162,573,314.20 is: 243,859,971.30
Step by Step Solution
- Step 1: Write the proportion equation
176,178,203.80 : 264,267,305.70 = 162,573,314.20 : x - Step 2: Convert to fraction form
176,178,203.80/264,267,305.70 = 162,573,314.20/x - Step 3: Cross multiply
176,178,203.80x = 264,267,305.70 × 162,573,314.20 - Step 4: Simplify right side
176,178,203.80x = 42,962,811,722,353,544 - Step 5: Solve for x
x = 42,962,811,722,353,544/176,178,203.80 - Step 6: Final answer
x = 243,859,971.30
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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.