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Finding the Fourth Proportional to 137,013.20, 189,078.15 and 80,424.58

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Solution

The fourth proportional to 137,013.20, 189,078.15 and 80,424.58 is: 110,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,013.20 : 189,078.15 = 80,424.58 : x
  2. Step 2: Convert to fraction form
    137,013.20/189,078.15 = 80,424.58/x
  3. Step 3: Cross multiply
    137,013.20x = 189,078.15 × 80,424.58
  4. Step 4: Simplify right side
    137,013.20x = 15,206,530,328.23
  5. Step 5: Solve for x
    x = 15,206,530,328.23/137,013.20
  6. Step 6: Final answer
    x = 110,985.88

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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.