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Finding the Fourth Proportional to 100,231.72, 138,319.78 and 54,911.32

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Solution

The fourth proportional to 100,231.72, 138,319.78 and 54,911.32 is: 75,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,231.72 : 138,319.78 = 54,911.32 : x
  2. Step 2: Convert to fraction form
    100,231.72/138,319.78 = 54,911.32/x
  3. Step 3: Cross multiply
    100,231.72x = 138,319.78 × 54,911.32
  4. Step 4: Simplify right side
    100,231.72x = 7,595,321,701.91
  5. Step 5: Solve for x
    x = 7,595,321,701.91/100,231.72
  6. Step 6: Final answer
    x = 75,777.63

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