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Finding the Fourth Proportional to 203,533.40, 305,250.33 and 159,049.82

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Solution

The fourth proportional to 203,533.40, 305,250.33 and 159,049.82 is: 238,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,533.40 : 305,250.33 = 159,049.82 : x
  2. Step 2: Convert to fraction form
    203,533.40/305,250.33 = 159,049.82/x
  3. Step 3: Cross multiply
    203,533.40x = 305,250.33 × 159,049.82
  4. Step 4: Simplify right side
    203,533.40x = 48,550,010,041.44
  5. Step 5: Solve for x
    x = 48,550,010,041.44/203,533.40
  6. Step 6: Final answer
    x = 238,535.84

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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.