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Finding the Fourth Proportional to 117,467,872.80, 176,201,809.20 and 100,083,847.20

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Solution

The fourth proportional to 117,467,872.80, 176,201,809.20 and 100,083,847.20 is: 150,125,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,467,872.80 : 176,201,809.20 = 100,083,847.20 : x
  2. Step 2: Convert to fraction form
    117,467,872.80/176,201,809.20 = 100,083,847.20/x
  3. Step 3: Cross multiply
    117,467,872.80x = 176,201,809.20 × 100,083,847.20
  4. Step 4: Simplify right side
    117,467,872.80x = 17,634,954,948,336,354
  5. Step 5: Solve for x
    x = 17,634,954,948,336,354/117,467,872.80
  6. Step 6: Final answer
    x = 150,125,770.80

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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.