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Finding the Fourth Proportional to 113,723.66, 156,939.69 and 65,977.82

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Solution

The fourth proportional to 113,723.66, 156,939.69 and 65,977.82 is: 91,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,723.66 : 156,939.69 = 65,977.82 : x
  2. Step 2: Convert to fraction form
    113,723.66/156,939.69 = 65,977.82/x
  3. Step 3: Cross multiply
    113,723.66x = 156,939.69 × 65,977.82
  4. Step 4: Simplify right side
    113,723.66x = 10,354,538,617.68
  5. Step 5: Solve for x
    x = 10,354,538,617.68/113,723.66
  6. Step 6: Final answer
    x = 91,049.99

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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.