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Finding the Fourth Proportional to 267,714.10, 401,371.44 and 161,073.08

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Solution

The fourth proportional to 267,714.10, 401,371.44 and 161,073.08 is: 241,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,714.10 : 401,371.44 = 161,073.08 : x
  2. Step 2: Convert to fraction form
    267,714.10/401,371.44 = 161,073.08/x
  3. Step 3: Cross multiply
    267,714.10x = 401,371.44 × 161,073.08
  4. Step 4: Simplify right side
    267,714.10x = 64,650,134,064.84
  5. Step 5: Solve for x
    x = 64,650,134,064.84/267,714.10
  6. Step 6: Final answer
    x = 241,489.46

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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.