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Finding the Fourth Proportional to 106,991.46, 147,491.01 and 81,453.38

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Solution

The fourth proportional to 106,991.46, 147,491.01 and 81,453.38 is: 112,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,991.46 : 147,491.01 = 81,453.38 : x
  2. Step 2: Convert to fraction form
    106,991.46/147,491.01 = 81,453.38/x
  3. Step 3: Cross multiply
    106,991.46x = 147,491.01 × 81,453.38
  4. Step 4: Simplify right side
    106,991.46x = 12,013,640,546.66
  5. Step 5: Solve for x
    x = 12,013,640,546.66/106,991.46
  6. Step 6: Final answer
    x = 112,285.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.