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Finding the Fourth Proportional to 203,886.30, 305,829.45 and 174,361.80

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Solution

The fourth proportional to 203,886.30, 305,829.45 and 174,361.80 is: 261,542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,886.30 : 305,829.45 = 174,361.80 : x
  2. Step 2: Convert to fraction form
    203,886.30/305,829.45 = 174,361.80/x
  3. Step 3: Cross multiply
    203,886.30x = 305,829.45 × 174,361.80
  4. Step 4: Simplify right side
    203,886.30x = 53,324,973,395.01
  5. Step 5: Solve for x
    x = 53,324,973,395.01/203,886.30
  6. Step 6: Final answer
    x = 261,542.70

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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.