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Finding the Fourth Proportional to 128,913.12, 193,444.74 and 54,027

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Solution

The fourth proportional to 128,913.12, 193,444.74 and 54,027 is: 81,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,913.12 : 193,444.74 = 54,027 : x
  2. Step 2: Convert to fraction form
    128,913.12/193,444.74 = 54,027/x
  3. Step 3: Cross multiply
    128,913.12x = 193,444.74 × 54,027
  4. Step 4: Simplify right side
    128,913.12x = 10,451,238,967.98
  5. Step 5: Solve for x
    x = 10,451,238,967.98/128,913.12
  6. Step 6: Final answer
    x = 81,071.96

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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.