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Finding the Fourth Proportional to 135,641.34, 187,140.24 and 81,905.94

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Solution

The fourth proportional to 135,641.34, 187,140.24 and 81,905.94 is: 113,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,641.34 : 187,140.24 = 81,905.94 : x
  2. Step 2: Convert to fraction form
    135,641.34/187,140.24 = 81,905.94/x
  3. Step 3: Cross multiply
    135,641.34x = 187,140.24 × 81,905.94
  4. Step 4: Simplify right side
    135,641.34x = 15,327,897,269.03
  5. Step 5: Solve for x
    x = 15,327,897,269.03/135,641.34
  6. Step 6: Final answer
    x = 113,003.14

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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.