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Finding the Fourth Proportional to 250,505.70, 375,745.14 and 82,004.64

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Solution

The fourth proportional to 250,505.70, 375,745.14 and 82,004.64 is: 123,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,505.70 : 375,745.14 = 82,004.64 : x
  2. Step 2: Convert to fraction form
    250,505.70/375,745.14 = 82,004.64/x
  3. Step 3: Cross multiply
    250,505.70x = 375,745.14 × 82,004.64
  4. Step 4: Simplify right side
    250,505.70x = 30,812,844,937.45
  5. Step 5: Solve for x
    x = 30,812,844,937.45/250,505.70
  6. Step 6: Final answer
    x = 123,002.57

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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.