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Finding the Fourth Proportional to 138,582.56, 207,780.44 and 111,961.30

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Solution

The fourth proportional to 138,582.56, 207,780.44 and 111,961.30 is: 167,866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,582.56 : 207,780.44 = 111,961.30 : x
  2. Step 2: Convert to fraction form
    138,582.56/207,780.44 = 111,961.30/x
  3. Step 3: Cross multiply
    138,582.56x = 207,780.44 × 111,961.30
  4. Step 4: Simplify right side
    138,582.56x = 23,263,368,176.97
  5. Step 5: Solve for x
    x = 23,263,368,176.97/138,582.56
  6. Step 6: Final answer
    x = 167,866.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.