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Finding the Fourth Proportional to 138,750.80, 208,174.80 and 50,007.20

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Solution

The fourth proportional to 138,750.80, 208,174.80 and 50,007.20 is: 75,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,750.80 : 208,174.80 = 50,007.20 : x
  2. Step 2: Convert to fraction form
    138,750.80/208,174.80 = 50,007.20/x
  3. Step 3: Cross multiply
    138,750.80x = 208,174.80 × 50,007.20
  4. Step 4: Simplify right side
    138,750.80x = 10,410,238,858.56
  5. Step 5: Solve for x
    x = 10,410,238,858.56/138,750.80
  6. Step 6: Final answer
    x = 75,028.32

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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.