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Finding the Fourth Proportional to 135,645.30, 203,410.35 and 65,546.10

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Solution

The fourth proportional to 135,645.30, 203,410.35 and 65,546.10 is: 98,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,645.30 : 203,410.35 = 65,546.10 : x
  2. Step 2: Convert to fraction form
    135,645.30/203,410.35 = 65,546.10/x
  3. Step 3: Cross multiply
    135,645.30x = 203,410.35 × 65,546.10
  4. Step 4: Simplify right side
    135,645.30x = 13,332,755,142.14
  5. Step 5: Solve for x
    x = 13,332,755,142.14/135,645.30
  6. Step 6: Final answer
    x = 98,291.32

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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.