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Finding the Fourth Proportional to 203,558.54, 305,525.73 and 146,691.50

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Solution

The fourth proportional to 203,558.54, 305,525.73 and 146,691.50 is: 220,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,558.54 : 305,525.73 = 146,691.50 : x
  2. Step 2: Convert to fraction form
    203,558.54/305,525.73 = 146,691.50/x
  3. Step 3: Cross multiply
    203,558.54x = 305,525.73 × 146,691.50
  4. Step 4: Simplify right side
    203,558.54x = 44,818,027,622.30
  5. Step 5: Solve for x
    x = 44,818,027,622.30/203,558.54
  6. Step 6: Final answer
    x = 220,172.67

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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.