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Finding the Fourth Proportional to 451,463.76, 677,121.82 and 135,846.86

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Solution

The fourth proportional to 451,463.76, 677,121.82 and 135,846.86 is: 203,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,463.76 : 677,121.82 = 135,846.86 : x
  2. Step 2: Convert to fraction form
    451,463.76/677,121.82 = 135,846.86/x
  3. Step 3: Cross multiply
    451,463.76x = 677,121.82 × 135,846.86
  4. Step 4: Simplify right side
    451,463.76x = 91,984,869,359.26
  5. Step 5: Solve for x
    x = 91,984,869,359.26/451,463.76
  6. Step 6: Final answer
    x = 203,748.07

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Why These Related Problems?

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