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Finding the Fourth Proportional to 146,238.40, 201,812.66 and 82,576.65

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Solution

The fourth proportional to 146,238.40, 201,812.66 and 82,576.65 is: 113,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,238.40 : 201,812.66 = 82,576.65 : x
  2. Step 2: Convert to fraction form
    146,238.40/201,812.66 = 82,576.65/x
  3. Step 3: Cross multiply
    146,238.40x = 201,812.66 × 82,576.65
  4. Step 4: Simplify right side
    146,238.40x = 16,665,013,390.39
  5. Step 5: Solve for x
    x = 16,665,013,390.39/146,238.40
  6. Step 6: Final answer
    x = 113,957.85

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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.