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Finding the Fourth Proportional to 140,145.69, 210,093.50 and 51,378.46

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Solution

The fourth proportional to 140,145.69, 210,093.50 and 51,378.46 is: 77,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,145.69 : 210,093.50 = 51,378.46 : x
  2. Step 2: Convert to fraction form
    140,145.69/210,093.50 = 51,378.46/x
  3. Step 3: Cross multiply
    140,145.69x = 210,093.50 × 51,378.46
  4. Step 4: Simplify right side
    140,145.69x = 10,794,280,229.12
  5. Step 5: Solve for x
    x = 10,794,280,229.12/140,145.69
  6. Step 6: Final answer
    x = 77,021.85

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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.