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Finding the Fourth Proportional to 128,228.44, 192,323.22 and 45,103

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Solution

The fourth proportional to 128,228.44, 192,323.22 and 45,103 is: 67,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,228.44 : 192,323.22 = 45,103 : x
  2. Step 2: Convert to fraction form
    128,228.44/192,323.22 = 45,103/x
  3. Step 3: Cross multiply
    128,228.44x = 192,323.22 × 45,103
  4. Step 4: Simplify right side
    128,228.44x = 8,674,354,191.66
  5. Step 5: Solve for x
    x = 8,674,354,191.66/128,228.44
  6. Step 6: Final answer
    x = 67,647.66

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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.