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Finding the Fourth Proportional to 149,997.50, 225,008.20 and 50,158.32

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Solution

The fourth proportional to 149,997.50, 225,008.20 and 50,158.32 is: 75,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,997.50 : 225,008.20 = 50,158.32 : x
  2. Step 2: Convert to fraction form
    149,997.50/225,008.20 = 50,158.32/x
  3. Step 3: Cross multiply
    149,997.50x = 225,008.20 × 50,158.32
  4. Step 4: Simplify right side
    149,997.50x = 11,286,033,298.22
  5. Step 5: Solve for x
    x = 11,286,033,298.22/149,997.50
  6. Step 6: Final answer
    x = 75,241.48

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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.