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Finding the Fourth Proportional to 100,215.72, 137,982.96 and 85,077

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Solution

The fourth proportional to 100,215.72, 137,982.96 and 85,077 is: 117,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,215.72 : 137,982.96 = 85,077 : x
  2. Step 2: Convert to fraction form
    100,215.72/137,982.96 = 85,077/x
  3. Step 3: Cross multiply
    100,215.72x = 137,982.96 × 85,077
  4. Step 4: Simplify right side
    100,215.72x = 11,739,176,287.92
  5. Step 5: Solve for x
    x = 11,739,176,287.92/100,215.72
  6. Step 6: Final answer
    x = 117,139.07

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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.