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Finding the Fourth Proportional to 137,178.58, 189,313.80 and 76,745.62

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Solution

The fourth proportional to 137,178.58, 189,313.80 and 76,745.62 is: 105,913.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,178.58 : 189,313.80 = 76,745.62 : x
  2. Step 2: Convert to fraction form
    137,178.58/189,313.80 = 76,745.62/x
  3. Step 3: Cross multiply
    137,178.58x = 189,313.80 × 76,745.62
  4. Step 4: Simplify right side
    137,178.58x = 14,529,004,955.56
  5. Step 5: Solve for x
    x = 14,529,004,955.56/137,178.58
  6. Step 6: Final answer
    x = 105,913.07

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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.