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Finding the Fourth Proportional to 147,027.28, 202,894.89 and 82,497.67

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Solution

The fourth proportional to 147,027.28, 202,894.89 and 82,497.67 is: 113,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,027.28 : 202,894.89 = 82,497.67 : x
  2. Step 2: Convert to fraction form
    147,027.28/202,894.89 = 82,497.67/x
  3. Step 3: Cross multiply
    147,027.28x = 202,894.89 × 82,497.67
  4. Step 4: Simplify right side
    147,027.28x = 16,738,355,679.91
  5. Step 5: Solve for x
    x = 16,738,355,679.91/147,027.28
  6. Step 6: Final answer
    x = 113,845.24

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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.