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Finding the Fourth Proportional to 137,178.54, 189,313.73 and 76,745.57

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Solution

The fourth proportional to 137,178.54, 189,313.73 and 76,745.57 is: 105,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,178.54 : 189,313.73 = 76,745.57 : x
  2. Step 2: Convert to fraction form
    137,178.54/189,313.73 = 76,745.57/x
  3. Step 3: Cross multiply
    137,178.54x = 189,313.73 × 76,745.57
  4. Step 4: Simplify right side
    137,178.54x = 14,528,988,787.38
  5. Step 5: Solve for x
    x = 14,528,988,787.38/137,178.54
  6. Step 6: Final answer
    x = 105,912.99

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Why These Related Problems?

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