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Finding the Fourth Proportional to 135,638.70, 203,458.05 and 85,872.30

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Solution

The fourth proportional to 135,638.70, 203,458.05 and 85,872.30 is: 128,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,638.70 : 203,458.05 = 85,872.30 : x
  2. Step 2: Convert to fraction form
    135,638.70/203,458.05 = 85,872.30/x
  3. Step 3: Cross multiply
    135,638.70x = 203,458.05 × 85,872.30
  4. Step 4: Simplify right side
    135,638.70x = 17,471,410,707.02
  5. Step 5: Solve for x
    x = 17,471,410,707.02/135,638.70
  6. Step 6: Final answer
    x = 128,808.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.