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Finding the Fourth Proportional to 137,183.29, 189,313.77 and 76,753.91

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Solution

The fourth proportional to 137,183.29, 189,313.77 and 76,753.91 is: 105,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,183.29 : 189,313.77 = 76,753.91 : x
  2. Step 2: Convert to fraction form
    137,183.29/189,313.77 = 76,753.91/x
  3. Step 3: Cross multiply
    137,183.29x = 189,313.77 × 76,753.91
  4. Step 4: Simplify right side
    137,183.29x = 14,530,572,825.45
  5. Step 5: Solve for x
    x = 14,530,572,825.45/137,183.29
  6. Step 6: Final answer
    x = 105,920.87

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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.