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Finding the Fourth Proportional to 135,661.70, 186,997.38 and 106,934.78

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Solution

The fourth proportional to 135,661.70, 186,997.38 and 106,934.78 is: 147,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,661.70 : 186,997.38 = 106,934.78 : x
  2. Step 2: Convert to fraction form
    135,661.70/186,997.38 = 106,934.78/x
  3. Step 3: Cross multiply
    135,661.70x = 186,997.38 × 106,934.78
  4. Step 4: Simplify right side
    135,661.70x = 19,996,523,690.88
  5. Step 5: Solve for x
    x = 19,996,523,690.88/135,661.70
  6. Step 6: Final answer
    x = 147,399.92

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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.