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Finding the Fourth Proportional to 267,009.30, 400,661.37 and 109,348.20

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Solution

The fourth proportional to 267,009.30, 400,661.37 and 109,348.20 is: 164,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,009.30 : 400,661.37 = 109,348.20 : x
  2. Step 2: Convert to fraction form
    267,009.30/400,661.37 = 109,348.20/x
  3. Step 3: Cross multiply
    267,009.30x = 400,661.37 × 109,348.20
  4. Step 4: Simplify right side
    267,009.30x = 43,811,599,619.03
  5. Step 5: Solve for x
    x = 43,811,599,619.03/267,009.30
  6. Step 6: Final answer
    x = 164,082.67

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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.