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Finding the Fourth Proportional to 140,154.72, 193,414.20 and 76,494

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Solution

The fourth proportional to 140,154.72, 193,414.20 and 76,494 is: 105,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,154.72 : 193,414.20 = 76,494 : x
  2. Step 2: Convert to fraction form
    140,154.72/193,414.20 = 76,494/x
  3. Step 3: Cross multiply
    140,154.72x = 193,414.20 × 76,494
  4. Step 4: Simplify right side
    140,154.72x = 14,795,025,814.80
  5. Step 5: Solve for x
    x = 14,795,025,814.80/140,154.72
  6. Step 6: Final answer
    x = 105,562.09

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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.