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Finding the Fourth Proportional to 131,410.80, 197,164.80 and 42,667.20

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Solution

The fourth proportional to 131,410.80, 197,164.80 and 42,667.20 is: 64,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,410.80 : 197,164.80 = 42,667.20 : x
  2. Step 2: Convert to fraction form
    131,410.80/197,164.80 = 42,667.20/x
  3. Step 3: Cross multiply
    131,410.80x = 197,164.80 × 42,667.20
  4. Step 4: Simplify right side
    131,410.80x = 8,412,469,954.56
  5. Step 5: Solve for x
    x = 8,412,469,954.56/131,410.80
  6. Step 6: Final answer
    x = 64,016.58

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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.