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Finding the Fourth Proportional to 187,228.92, 280,847.04 and 87,361.98

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Solution

The fourth proportional to 187,228.92, 280,847.04 and 87,361.98 is: 131,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,228.92 : 280,847.04 = 87,361.98 : x
  2. Step 2: Convert to fraction form
    187,228.92/280,847.04 = 87,361.98/x
  3. Step 3: Cross multiply
    187,228.92x = 280,847.04 × 87,361.98
  4. Step 4: Simplify right side
    187,228.92x = 24,535,353,491.54
  5. Step 5: Solve for x
    x = 24,535,353,491.54/187,228.92
  6. Step 6: Final answer
    x = 131,044.68

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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.