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Finding the Fourth Proportional to 137,617.34, 189,911.86 and 80,245.58

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Solution

The fourth proportional to 137,617.34, 189,911.86 and 80,245.58 is: 110,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,617.34 : 189,911.86 = 80,245.58 : x
  2. Step 2: Convert to fraction form
    137,617.34/189,911.86 = 80,245.58/x
  3. Step 3: Cross multiply
    137,617.34x = 189,911.86 × 80,245.58
  4. Step 4: Simplify right side
    137,617.34x = 15,239,587,354.58
  5. Step 5: Solve for x
    x = 15,239,587,354.58/137,617.34
  6. Step 6: Final answer
    x = 110,738.86

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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.