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Finding the Fourth Proportional to 413,168.76, 619,535.09 and 128,806.29

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Solution

The fourth proportional to 413,168.76, 619,535.09 and 128,806.29 is: 193,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,168.76 : 619,535.09 = 128,806.29 : x
  2. Step 2: Convert to fraction form
    413,168.76/619,535.09 = 128,806.29/x
  3. Step 3: Cross multiply
    413,168.76x = 619,535.09 × 128,806.29
  4. Step 4: Simplify right side
    413,168.76x = 79,800,016,789.73
  5. Step 5: Solve for x
    x = 79,800,016,789.73/413,168.76
  6. Step 6: Final answer
    x = 193,141.46

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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.