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Finding the Fourth Proportional to 267,881.22, 401,883.21 and 116,103.78

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Solution

The fourth proportional to 267,881.22, 401,883.21 and 116,103.78 is: 174,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,881.22 : 401,883.21 = 116,103.78 : x
  2. Step 2: Convert to fraction form
    267,881.22/401,883.21 = 116,103.78/x
  3. Step 3: Cross multiply
    267,881.22x = 401,883.21 × 116,103.78
  4. Step 4: Simplify right side
    267,881.22x = 46,660,159,799.53
  5. Step 5: Solve for x
    x = 46,660,159,799.53/267,881.22
  6. Step 6: Final answer
    x = 174,182.27

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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.