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Finding the Fourth Proportional to 147,289.50, 203,261.67 and 80,221.50

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Solution

The fourth proportional to 147,289.50, 203,261.67 and 80,221.50 is: 110,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,289.50 : 203,261.67 = 80,221.50 : x
  2. Step 2: Convert to fraction form
    147,289.50/203,261.67 = 80,221.50/x
  3. Step 3: Cross multiply
    147,289.50x = 203,261.67 × 80,221.50
  4. Step 4: Simplify right side
    147,289.50x = 16,305,956,059.91
  5. Step 5: Solve for x
    x = 16,305,956,059.91/147,289.50
  6. Step 6: Final answer
    x = 110,706.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.