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Finding the Fourth Proportional to 135,768.40, 203,652.42 and 76,577.20

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Solution

The fourth proportional to 135,768.40, 203,652.42 and 76,577.20 is: 114,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,768.40 : 203,652.42 = 76,577.20 : x
  2. Step 2: Convert to fraction form
    135,768.40/203,652.42 = 76,577.20/x
  3. Step 3: Cross multiply
    135,768.40x = 203,652.42 × 76,577.20
  4. Step 4: Simplify right side
    135,768.40x = 15,595,132,096.82
  5. Step 5: Solve for x
    x = 15,595,132,096.82/135,768.40
  6. Step 6: Final answer
    x = 114,865.70

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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.