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Finding the Fourth Proportional to 409,201.36, 613,893.63 and 124,917.19

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Solution

The fourth proportional to 409,201.36, 613,893.63 and 124,917.19 is: 187,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,201.36 : 613,893.63 = 124,917.19 : x
  2. Step 2: Convert to fraction form
    409,201.36/613,893.63 = 124,917.19/x
  3. Step 3: Cross multiply
    409,201.36x = 613,893.63 × 124,917.19
  4. Step 4: Simplify right side
    409,201.36x = 76,685,867,218.50
  5. Step 5: Solve for x
    x = 76,685,867,218.50/409,201.36
  6. Step 6: Final answer
    x = 187,403.74

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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.