Finding the Fourth Proportional to 176,134,180.80, 264,201,271.20 and 164,796,772.80
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Solution
The fourth proportional to 176,134,180.80, 264,201,271.20 and 164,796,772.80 is: 247,195,159.20
Step by Step Solution
- Step 1: Write the proportion equation
176,134,180.80 : 264,201,271.20 = 164,796,772.80 : x - Step 2: Convert to fraction form
176,134,180.80/264,201,271.20 = 164,796,772.80/x - Step 3: Cross multiply
176,134,180.80x = 264,201,271.20 × 164,796,772.80 - Step 4: Simplify right side
176,134,180.80x = 43,539,516,863,417,584 - Step 5: Solve for x
x = 43,539,516,863,417,584/176,134,180.80 - Step 6: Final answer
x = 247,195,159.20
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1.5x scale
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.