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Finding the Fourth Proportional to 135,426.96, 203,175 and 85,859.28

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Solution

The fourth proportional to 135,426.96, 203,175 and 85,859.28 is: 128,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,426.96 : 203,175 = 85,859.28 : x
  2. Step 2: Convert to fraction form
    135,426.96/203,175 = 85,859.28/x
  3. Step 3: Cross multiply
    135,426.96x = 203,175 × 85,859.28
  4. Step 4: Simplify right side
    135,426.96x = 17,444,459,214
  5. Step 5: Solve for x
    x = 17,444,459,214/135,426.96
  6. Step 6: Final answer
    x = 128,810.83

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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.