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Finding the Fourth Proportional to 186,791.60, 280,186.49 and 86,896.73

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Solution

The fourth proportional to 186,791.60, 280,186.49 and 86,896.73 is: 130,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,791.60 : 280,186.49 = 86,896.73 : x
  2. Step 2: Convert to fraction form
    186,791.60/280,186.49 = 86,896.73/x
  3. Step 3: Cross multiply
    186,791.60x = 280,186.49 × 86,896.73
  4. Step 4: Simplify right side
    186,791.60x = 24,347,290,688.89
  5. Step 5: Solve for x
    x = 24,347,290,688.89/186,791.60
  6. Step 6: Final answer
    x = 130,344.67

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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.