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Finding the Fourth Proportional to 140,181.56, 210,300 and 51,435.80

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Solution

The fourth proportional to 140,181.56, 210,300 and 51,435.80 is: 77,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,181.56 : 210,300 = 51,435.80 : x
  2. Step 2: Convert to fraction form
    140,181.56/210,300 = 51,435.80/x
  3. Step 3: Cross multiply
    140,181.56x = 210,300 × 51,435.80
  4. Step 4: Simplify right side
    140,181.56x = 10,816,948,740
  5. Step 5: Solve for x
    x = 10,816,948,740/140,181.56
  6. Step 6: Final answer
    x = 77,163.85

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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.