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Finding the Fourth Proportional to 137,284.62, 189,450.36 and 76,029.54

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Solution

The fourth proportional to 137,284.62, 189,450.36 and 76,029.54 is: 104,919.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,284.62 : 189,450.36 = 76,029.54 : x
  2. Step 2: Convert to fraction form
    137,284.62/189,450.36 = 76,029.54/x
  3. Step 3: Cross multiply
    137,284.62x = 189,450.36 × 76,029.54
  4. Step 4: Simplify right side
    137,284.62x = 14,403,823,723.63
  5. Step 5: Solve for x
    x = 14,403,823,723.63/137,284.62
  6. Step 6: Final answer
    x = 104,919.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.