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Finding the Fourth Proportional to 140,315.37, 193,627.94 and 76,640.87

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Solution

The fourth proportional to 140,315.37, 193,627.94 and 76,640.87 is: 105,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,315.37 : 193,627.94 = 76,640.87 : x
  2. Step 2: Convert to fraction form
    140,315.37/193,627.94 = 76,640.87/x
  3. Step 3: Cross multiply
    140,315.37x = 193,627.94 × 76,640.87
  4. Step 4: Simplify right side
    140,315.37x = 14,839,812,426.56
  5. Step 5: Solve for x
    x = 14,839,812,426.56/140,315.37
  6. Step 6: Final answer
    x = 105,760.42

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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.