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Finding the Fourth Proportional to 128,227.44, 192,321.72 and 45,102

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Solution

The fourth proportional to 128,227.44, 192,321.72 and 45,102 is: 67,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,227.44 : 192,321.72 = 45,102 : x
  2. Step 2: Convert to fraction form
    128,227.44/192,321.72 = 45,102/x
  3. Step 3: Cross multiply
    128,227.44x = 192,321.72 × 45,102
  4. Step 4: Simplify right side
    128,227.44x = 8,674,094,215.44
  5. Step 5: Solve for x
    x = 8,674,094,215.44/128,227.44
  6. Step 6: Final answer
    x = 67,646.16

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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.