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Finding the Fourth Proportional to 106,191.40, 146,541.36 and 57,794.30

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Solution

The fourth proportional to 106,191.40, 146,541.36 and 57,794.30 is: 79,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,191.40 : 146,541.36 = 57,794.30 : x
  2. Step 2: Convert to fraction form
    106,191.40/146,541.36 = 57,794.30/x
  3. Step 3: Cross multiply
    106,191.40x = 146,541.36 × 57,794.30
  4. Step 4: Simplify right side
    106,191.40x = 8,469,255,322.25
  5. Step 5: Solve for x
    x = 8,469,255,322.25/106,191.40
  6. Step 6: Final answer
    x = 79,754.63

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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.