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Finding the Fourth Proportional to 451,901.28, 677,857.14 and 136,360.92

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Solution

The fourth proportional to 451,901.28, 677,857.14 and 136,360.92 is: 204,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,901.28 : 677,857.14 = 136,360.92 : x
  2. Step 2: Convert to fraction form
    451,901.28/677,857.14 = 136,360.92/x
  3. Step 3: Cross multiply
    451,901.28x = 677,857.14 × 136,360.92
  4. Step 4: Simplify right side
    451,901.28x = 92,433,223,238.97
  5. Step 5: Solve for x
    x = 92,433,223,238.97/451,901.28
  6. Step 6: Final answer
    x = 204,542.96

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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.