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Finding the Fourth Proportional to 183,996, 275,904.03 and 75,905.22

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Solution

The fourth proportional to 183,996, 275,904.03 and 75,905.22 is: 113,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,996 : 275,904.03 = 75,905.22 : x
  2. Step 2: Convert to fraction form
    183,996/275,904.03 = 75,905.22/x
  3. Step 3: Cross multiply
    183,996x = 275,904.03 × 75,905.22
  4. Step 4: Simplify right side
    183,996x = 20,942,556,096.04
  5. Step 5: Solve for x
    x = 20,942,556,096.04/183,996
  6. Step 6: Final answer
    x = 113,820.71

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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.