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Finding the Fourth Proportional to 275,018.34, 412,527.83 and 75,340.44

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Solution

The fourth proportional to 275,018.34, 412,527.83 and 75,340.44 is: 113,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,018.34 : 412,527.83 = 75,340.44 : x
  2. Step 2: Convert to fraction form
    275,018.34/412,527.83 = 75,340.44/x
  3. Step 3: Cross multiply
    275,018.34x = 412,527.83 × 75,340.44
  4. Step 4: Simplify right side
    275,018.34x = 31,080,028,224.45
  5. Step 5: Solve for x
    x = 31,080,028,224.45/275,018.34
  6. Step 6: Final answer
    x = 113,010.75

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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.