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Finding the Fourth Proportional to 267,105.64, 400,459.74 and 161,899.24

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Solution

The fourth proportional to 267,105.64, 400,459.74 and 161,899.24 is: 242,728.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,105.64 : 400,459.74 = 161,899.24 : x
  2. Step 2: Convert to fraction form
    267,105.64/400,459.74 = 161,899.24/x
  3. Step 3: Cross multiply
    267,105.64x = 400,459.74 × 161,899.24
  4. Step 4: Simplify right side
    267,105.64x = 64,834,127,556.60
  5. Step 5: Solve for x
    x = 64,834,127,556.60/267,105.64
  6. Step 6: Final answer
    x = 242,728.41

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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.