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Finding the Fourth Proportional to 409,150.64, 613,732.44 and 124,847.12

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Solution

The fourth proportional to 409,150.64, 613,732.44 and 124,847.12 is: 187,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,150.64 : 613,732.44 = 124,847.12 : x
  2. Step 2: Convert to fraction form
    409,150.64/613,732.44 = 124,847.12/x
  3. Step 3: Cross multiply
    409,150.64x = 613,732.44 × 124,847.12
  4. Step 4: Simplify right side
    409,150.64x = 76,622,727,584.57
  5. Step 5: Solve for x
    x = 76,622,727,584.57/409,150.64
  6. Step 6: Final answer
    x = 187,272.66

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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.