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Finding the Fourth Proportional to 135,897.54, 187,508.34 and 82,181.42

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Solution

The fourth proportional to 135,897.54, 187,508.34 and 82,181.42 is: 113,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,897.54 : 187,508.34 = 82,181.42 : x
  2. Step 2: Convert to fraction form
    135,897.54/187,508.34 = 82,181.42/x
  3. Step 3: Cross multiply
    135,897.54x = 187,508.34 × 82,181.42
  4. Step 4: Simplify right side
    135,897.54x = 15,409,701,643.04
  5. Step 5: Solve for x
    x = 15,409,701,643.04/135,897.54
  6. Step 6: Final answer
    x = 113,392.06

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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.