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Finding the Fourth Proportional to 133,454.68, 199,974.66 and 84,103

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Solution

The fourth proportional to 133,454.68, 199,974.66 and 84,103 is: 126,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,454.68 : 199,974.66 = 84,103 : x
  2. Step 2: Convert to fraction form
    133,454.68/199,974.66 = 84,103/x
  3. Step 3: Cross multiply
    133,454.68x = 199,974.66 × 84,103
  4. Step 4: Simplify right side
    133,454.68x = 16,818,468,829.98
  5. Step 5: Solve for x
    x = 16,818,468,829.98/133,454.68
  6. Step 6: Final answer
    x = 126,023.82

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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.