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Finding the Fourth Proportional to 275,949.76, 413,850.48 and 76,223.20

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Solution

The fourth proportional to 275,949.76, 413,850.48 and 76,223.20 is: 114,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,949.76 : 413,850.48 = 76,223.20 : x
  2. Step 2: Convert to fraction form
    275,949.76/413,850.48 = 76,223.20/x
  3. Step 3: Cross multiply
    275,949.76x = 413,850.48 × 76,223.20
  4. Step 4: Simplify right side
    275,949.76x = 31,545,007,907.14
  5. Step 5: Solve for x
    x = 31,545,007,907.14/275,949.76
  6. Step 6: Final answer
    x = 114,314.32

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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.