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Finding the Fourth Proportional to 140,418.16, 193,777.31 and 76,756.41

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Solution

The fourth proportional to 140,418.16, 193,777.31 and 76,756.41 is: 105,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,418.16 : 193,777.31 = 76,756.41 : x
  2. Step 2: Convert to fraction form
    140,418.16/193,777.31 = 76,756.41/x
  3. Step 3: Cross multiply
    140,418.16x = 193,777.31 × 76,756.41
  4. Step 4: Simplify right side
    140,418.16x = 14,873,650,846.95
  5. Step 5: Solve for x
    x = 14,873,650,846.95/140,418.16
  6. Step 6: Final answer
    x = 105,923.99

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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.