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Finding the Fourth Proportional to 166,356.31, 229,576.32 and 101,824.27

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Solution

The fourth proportional to 166,356.31, 229,576.32 and 101,824.27 is: 140,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,356.31 : 229,576.32 = 101,824.27 : x
  2. Step 2: Convert to fraction form
    166,356.31/229,576.32 = 101,824.27/x
  3. Step 3: Cross multiply
    166,356.31x = 229,576.32 × 101,824.27
  4. Step 4: Simplify right side
    166,356.31x = 23,376,441,193.29
  5. Step 5: Solve for x
    x = 23,376,441,193.29/166,356.31
  6. Step 6: Final answer
    x = 140,520.32

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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.