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Finding the Fourth Proportional to 150,652.56, 225,837.42 and 50,742.84

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Solution

The fourth proportional to 150,652.56, 225,837.42 and 50,742.84 is: 76,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,652.56 : 225,837.42 = 50,742.84 : x
  2. Step 2: Convert to fraction form
    150,652.56/225,837.42 = 50,742.84/x
  3. Step 3: Cross multiply
    150,652.56x = 225,837.42 × 50,742.84
  4. Step 4: Simplify right side
    150,652.56x = 11,459,632,069.07
  5. Step 5: Solve for x
    x = 11,459,632,069.07/150,652.56
  6. Step 6: Final answer
    x = 76,066.63

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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.