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Finding the Fourth Proportional to 193,899.82, 267,472.48 and 116,355.42

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Solution

The fourth proportional to 193,899.82, 267,472.48 and 116,355.42 is: 160,504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,899.82 : 267,472.48 = 116,355.42 : x
  2. Step 2: Convert to fraction form
    193,899.82/267,472.48 = 116,355.42/x
  3. Step 3: Cross multiply
    193,899.82x = 267,472.48 × 116,355.42
  4. Step 4: Simplify right side
    193,899.82x = 31,121,872,748.84
  5. Step 5: Solve for x
    x = 31,121,872,748.84/193,899.82
  6. Step 6: Final answer
    x = 160,504.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.