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Finding the Fourth Proportional to 137,184.70, 189,322.25 and 76,751.75

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Solution

The fourth proportional to 137,184.70, 189,322.25 and 76,751.75 is: 105,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,184.70 : 189,322.25 = 76,751.75 : x
  2. Step 2: Convert to fraction form
    137,184.70/189,322.25 = 76,751.75/x
  3. Step 3: Cross multiply
    137,184.70x = 189,322.25 × 76,751.75
  4. Step 4: Simplify right side
    137,184.70x = 14,530,814,001.44
  5. Step 5: Solve for x
    x = 14,530,814,001.44/137,184.70
  6. Step 6: Final answer
    x = 105,921.53

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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.