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Finding the Fourth Proportional to 150,530.54, 225,766.98 and 75,629.90

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Solution

The fourth proportional to 150,530.54, 225,766.98 and 75,629.90 is: 113,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,530.54 : 225,766.98 = 75,629.90 : x
  2. Step 2: Convert to fraction form
    150,530.54/225,766.98 = 75,629.90/x
  3. Step 3: Cross multiply
    150,530.54x = 225,766.98 × 75,629.90
  4. Step 4: Simplify right side
    150,530.54x = 17,074,734,685.12
  5. Step 5: Solve for x
    x = 17,074,734,685.12/150,530.54
  6. Step 6: Final answer
    x = 113,430.37

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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.