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Finding the Fourth Proportional to 135,956.50, 204,004 and 96,230.86

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Solution

The fourth proportional to 135,956.50, 204,004 and 96,230.86 is: 144,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,956.50 : 204,004 = 96,230.86 : x
  2. Step 2: Convert to fraction form
    135,956.50/204,004 = 96,230.86/x
  3. Step 3: Cross multiply
    135,956.50x = 204,004 × 96,230.86
  4. Step 4: Simplify right side
    135,956.50x = 19,631,480,363.44
  5. Step 5: Solve for x
    x = 19,631,480,363.44/135,956.50
  6. Step 6: Final answer
    x = 144,395.31

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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.