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Finding the Fourth Proportional to 131,189.76, 196,618.50 and 83,786.58

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Solution

The fourth proportional to 131,189.76, 196,618.50 and 83,786.58 is: 125,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,189.76 : 196,618.50 = 83,786.58 : x
  2. Step 2: Convert to fraction form
    131,189.76/196,618.50 = 83,786.58/x
  3. Step 3: Cross multiply
    131,189.76x = 196,618.50 × 83,786.58
  4. Step 4: Simplify right side
    131,189.76x = 16,473,991,679.73
  5. Step 5: Solve for x
    x = 16,473,991,679.73/131,189.76
  6. Step 6: Final answer
    x = 125,573.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.