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Finding the Fourth Proportional to 137,149.25, 189,257.04 and 76,709.42

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Solution

The fourth proportional to 137,149.25, 189,257.04 and 76,709.42 is: 105,854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,149.25 : 189,257.04 = 76,709.42 : x
  2. Step 2: Convert to fraction form
    137,149.25/189,257.04 = 76,709.42/x
  3. Step 3: Cross multiply
    137,149.25x = 189,257.04 × 76,709.42
  4. Step 4: Simplify right side
    137,149.25x = 14,517,797,769.32
  5. Step 5: Solve for x
    x = 14,517,797,769.32/137,149.25
  6. Step 6: Final answer
    x = 105,854.01

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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.