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Finding the Fourth Proportional to 137,375.16, 189,575.46 and 76,945.24

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Solution

The fourth proportional to 137,375.16, 189,575.46 and 76,945.24 is: 106,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,375.16 : 189,575.46 = 76,945.24 : x
  2. Step 2: Convert to fraction form
    137,375.16/189,575.46 = 76,945.24/x
  3. Step 3: Cross multiply
    137,375.16x = 189,575.46 × 76,945.24
  4. Step 4: Simplify right side
    137,375.16x = 14,586,929,267.81
  5. Step 5: Solve for x
    x = 14,586,929,267.81/137,375.16
  6. Step 6: Final answer
    x = 106,183.16

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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.