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Finding the Fourth Proportional to 203,908.30, 305,862.45 and 150,764.20

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Solution

The fourth proportional to 203,908.30, 305,862.45 and 150,764.20 is: 226,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,908.30 : 305,862.45 = 150,764.20 : x
  2. Step 2: Convert to fraction form
    203,908.30/305,862.45 = 150,764.20/x
  3. Step 3: Cross multiply
    203,908.30x = 305,862.45 × 150,764.20
  4. Step 4: Simplify right side
    203,908.30x = 46,113,107,584.29
  5. Step 5: Solve for x
    x = 46,113,107,584.29/203,908.30
  6. Step 6: Final answer
    x = 226,146.30

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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.