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Finding the Fourth Proportional to 100,288.52, 138,318.44 and 85,231.02

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Solution

The fourth proportional to 100,288.52, 138,318.44 and 85,231.02 is: 117,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,288.52 : 138,318.44 = 85,231.02 : x
  2. Step 2: Convert to fraction form
    100,288.52/138,318.44 = 85,231.02/x
  3. Step 3: Cross multiply
    100,288.52x = 138,318.44 × 85,231.02
  4. Step 4: Simplify right side
    100,288.52x = 11,789,021,299.85
  5. Step 5: Solve for x
    x = 11,789,021,299.85/100,288.52
  6. Step 6: Final answer
    x = 117,551.06

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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.