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Finding the Fourth Proportional to 106,198.34, 146,554.11 and 58,453.38

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Solution

The fourth proportional to 106,198.34, 146,554.11 and 58,453.38 is: 80,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,198.34 : 146,554.11 = 58,453.38 : x
  2. Step 2: Convert to fraction form
    106,198.34/146,554.11 = 58,453.38/x
  3. Step 3: Cross multiply
    106,198.34x = 146,554.11 × 58,453.38
  4. Step 4: Simplify right side
    106,198.34x = 8,566,583,082.39
  5. Step 5: Solve for x
    x = 8,566,583,082.39/106,198.34
  6. Step 6: Final answer
    x = 80,665.89

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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.