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Finding the Fourth Proportional to 140,171.50, 210,344.73 and 57,065.50

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Solution

The fourth proportional to 140,171.50, 210,344.73 and 57,065.50 is: 85,633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,171.50 : 210,344.73 = 57,065.50 : x
  2. Step 2: Convert to fraction form
    140,171.50/210,344.73 = 57,065.50/x
  3. Step 3: Cross multiply
    140,171.50x = 210,344.73 × 57,065.50
  4. Step 4: Simplify right side
    140,171.50x = 12,003,427,189.82
  5. Step 5: Solve for x
    x = 12,003,427,189.82/140,171.50
  6. Step 6: Final answer
    x = 85,633.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.