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Finding the Fourth Proportional to 140,563.60, 193,979.20 and 76,900

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Solution

The fourth proportional to 140,563.60, 193,979.20 and 76,900 is: 106,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,563.60 : 193,979.20 = 76,900 : x
  2. Step 2: Convert to fraction form
    140,563.60/193,979.20 = 76,900/x
  3. Step 3: Cross multiply
    140,563.60x = 193,979.20 × 76,900
  4. Step 4: Simplify right side
    140,563.60x = 14,917,000,480
  5. Step 5: Solve for x
    x = 14,917,000,480/140,563.60
  6. Step 6: Final answer
    x = 106,122.78

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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.