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Finding the Fourth Proportional to 135,509.36, 203,155.50 and 64,396.31

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Solution

The fourth proportional to 135,509.36, 203,155.50 and 64,396.31 is: 96,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,509.36 : 203,155.50 = 64,396.31 : x
  2. Step 2: Convert to fraction form
    135,509.36/203,155.50 = 64,396.31/x
  3. Step 3: Cross multiply
    135,509.36x = 203,155.50 × 64,396.31
  4. Step 4: Simplify right side
    135,509.36x = 13,082,464,556.21
  5. Step 5: Solve for x
    x = 13,082,464,556.21/135,509.36
  6. Step 6: Final answer
    x = 96,542.88

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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.