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Finding the Fourth Proportional to 146,533.58, 202,224.87 and 82,002.27

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Solution

The fourth proportional to 146,533.58, 202,224.87 and 82,002.27 is: 113,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,533.58 : 202,224.87 = 82,002.27 : x
  2. Step 2: Convert to fraction form
    146,533.58/202,224.87 = 82,002.27/x
  3. Step 3: Cross multiply
    146,533.58x = 202,224.87 × 82,002.27
  4. Step 4: Simplify right side
    146,533.58x = 16,582,898,082.95
  5. Step 5: Solve for x
    x = 16,582,898,082.95/146,533.58
  6. Step 6: Final answer
    x = 113,167.90

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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.