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Finding the Fourth Proportional to 137,047.12, 189,183.33 and 83,349.37

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Solution

The fourth proportional to 137,047.12, 189,183.33 and 83,349.37 is: 115,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,047.12 : 189,183.33 = 83,349.37 : x
  2. Step 2: Convert to fraction form
    137,047.12/189,183.33 = 83,349.37/x
  3. Step 3: Cross multiply
    137,047.12x = 189,183.33 × 83,349.37
  4. Step 4: Simplify right side
    137,047.12x = 15,768,311,370.00
  5. Step 5: Solve for x
    x = 15,768,311,370.00/137,047.12
  6. Step 6: Final answer
    x = 115,057.59

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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.