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Finding the Fourth Proportional to 106,171.20, 146,489.76 and 68,400

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Solution

The fourth proportional to 106,171.20, 146,489.76 and 68,400 is: 94,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,171.20 : 146,489.76 = 68,400 : x
  2. Step 2: Convert to fraction form
    106,171.20/146,489.76 = 68,400/x
  3. Step 3: Cross multiply
    106,171.20x = 146,489.76 × 68,400
  4. Step 4: Simplify right side
    106,171.20x = 10,019,899,584
  5. Step 5: Solve for x
    x = 10,019,899,584/106,171.20
  6. Step 6: Final answer
    x = 94,374.93

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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.