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Finding the Fourth Proportional to 135,383.16, 203,205.96 and 65,311.68

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Solution

The fourth proportional to 135,383.16, 203,205.96 and 65,311.68 is: 98,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,383.16 : 203,205.96 = 65,311.68 : x
  2. Step 2: Convert to fraction form
    135,383.16/203,205.96 = 65,311.68/x
  3. Step 3: Cross multiply
    135,383.16x = 203,205.96 × 65,311.68
  4. Step 4: Simplify right side
    135,383.16x = 13,271,722,633.61
  5. Step 5: Solve for x
    x = 13,271,722,633.61/135,383.16
  6. Step 6: Final answer
    x = 98,030.82

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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.