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Finding the Fourth Proportional to 119,157.41, 178,735.95 and 30,410.92

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Solution

The fourth proportional to 119,157.41, 178,735.95 and 30,410.92 is: 45,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,157.41 : 178,735.95 = 30,410.92 : x
  2. Step 2: Convert to fraction form
    119,157.41/178,735.95 = 30,410.92/x
  3. Step 3: Cross multiply
    119,157.41x = 178,735.95 × 30,410.92
  4. Step 4: Simplify right side
    119,157.41x = 5,435,524,229.73
  5. Step 5: Solve for x
    x = 5,435,524,229.73/119,157.41
  6. Step 6: Final answer
    x = 45,616.34

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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.