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Finding the Fourth Proportional to 203,883.80, 305,825.70 and 174,359.30

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Solution

The fourth proportional to 203,883.80, 305,825.70 and 174,359.30 is: 261,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,883.80 : 305,825.70 = 174,359.30 : x
  2. Step 2: Convert to fraction form
    203,883.80/305,825.70 = 174,359.30/x
  3. Step 3: Cross multiply
    203,883.80x = 305,825.70 × 174,359.30
  4. Step 4: Simplify right side
    203,883.80x = 53,323,554,974.01
  5. Step 5: Solve for x
    x = 53,323,554,974.01/203,883.80
  6. Step 6: Final answer
    x = 261,538.95

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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.