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Finding the Fourth Proportional to 300,709.67, 450,748.64 and 111,049.16

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Solution

The fourth proportional to 300,709.67, 450,748.64 and 111,049.16 is: 166,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,709.67 : 450,748.64 = 111,049.16 : x
  2. Step 2: Convert to fraction form
    300,709.67/450,748.64 = 111,049.16/x
  3. Step 3: Cross multiply
    300,709.67x = 450,748.64 × 111,049.16
  4. Step 4: Simplify right side
    300,709.67x = 50,055,255,867.02
  5. Step 5: Solve for x
    x = 50,055,255,867.02/300,709.67
  6. Step 6: Final answer
    x = 166,457.09

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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.