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Finding the Fourth Proportional to 178,309.50, 267,284.07 and 111,796.26

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Solution

The fourth proportional to 178,309.50, 267,284.07 and 111,796.26 is: 167,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,309.50 : 267,284.07 = 111,796.26 : x
  2. Step 2: Convert to fraction form
    178,309.50/267,284.07 = 111,796.26/x
  3. Step 3: Cross multiply
    178,309.50x = 267,284.07 × 111,796.26
  4. Step 4: Simplify right side
    178,309.50x = 29,881,359,383.58
  5. Step 5: Solve for x
    x = 29,881,359,383.58/178,309.50
  6. Step 6: Final answer
    x = 167,581.42

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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.