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Finding the Fourth Proportional to 100,533.72, 138,738 and 55,215.78

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Solution

The fourth proportional to 100,533.72, 138,738 and 55,215.78 is: 76,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,533.72 : 138,738 = 55,215.78 : x
  2. Step 2: Convert to fraction form
    100,533.72/138,738 = 55,215.78/x
  3. Step 3: Cross multiply
    100,533.72x = 138,738 × 55,215.78
  4. Step 4: Simplify right side
    100,533.72x = 7,660,526,885.64
  5. Step 5: Solve for x
    x = 7,660,526,885.64/100,533.72
  6. Step 6: Final answer
    x = 76,198.58

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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.