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Finding the Fourth Proportional to 137,180.09, 189,297.73 and 76,745.99

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Solution

The fourth proportional to 137,180.09, 189,297.73 and 76,745.99 is: 105,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,180.09 : 189,297.73 = 76,745.99 : x
  2. Step 2: Convert to fraction form
    137,180.09/189,297.73 = 76,745.99/x
  3. Step 3: Cross multiply
    137,180.09x = 189,297.73 × 76,745.99
  4. Step 4: Simplify right side
    137,180.09x = 14,527,841,693.60
  5. Step 5: Solve for x
    x = 14,527,841,693.60/137,180.09
  6. Step 6: Final answer
    x = 105,903.43

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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.