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Finding the Fourth Proportional to 308,745.14, 463,052.90 and 87,077.30

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Solution

The fourth proportional to 308,745.14, 463,052.90 and 87,077.30 is: 130,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,745.14 : 463,052.90 = 87,077.30 : x
  2. Step 2: Convert to fraction form
    308,745.14/463,052.90 = 87,077.30/x
  3. Step 3: Cross multiply
    308,745.14x = 463,052.90 × 87,077.30
  4. Step 4: Simplify right side
    308,745.14x = 40,321,394,191.60
  5. Step 5: Solve for x
    x = 40,321,394,191.60/308,745.14
  6. Step 6: Final answer
    x = 130,597.67

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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.