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Finding the Fourth Proportional to 140,704.32, 194,171.06 and 76,173.08

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Solution

The fourth proportional to 140,704.32, 194,171.06 and 76,173.08 is: 105,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,704.32 : 194,171.06 = 76,173.08 : x
  2. Step 2: Convert to fraction form
    140,704.32/194,171.06 = 76,173.08/x
  3. Step 3: Cross multiply
    140,704.32x = 194,171.06 × 76,173.08
  4. Step 4: Simplify right side
    140,704.32x = 14,790,607,687.06
  5. Step 5: Solve for x
    x = 14,790,607,687.06/140,704.32
  6. Step 6: Final answer
    x = 105,118.36

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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.