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Finding the Fourth Proportional to 267,698.04, 401,011.64 and 161,023.10

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Solution

The fourth proportional to 267,698.04, 401,011.64 and 161,023.10 is: 241,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,698.04 : 401,011.64 = 161,023.10 : x
  2. Step 2: Convert to fraction form
    267,698.04/401,011.64 = 161,023.10/x
  3. Step 3: Cross multiply
    267,698.04x = 401,011.64 × 161,023.10
  4. Step 4: Simplify right side
    267,698.04x = 64,572,137,408.88
  5. Step 5: Solve for x
    x = 64,572,137,408.88/267,698.04
  6. Step 6: Final answer
    x = 241,212.59

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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.