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Finding the Fourth Proportional to 126,586, 189,920.60 and 51,769.08

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Solution

The fourth proportional to 126,586, 189,920.60 and 51,769.08 is: 77,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,586 : 189,920.60 = 51,769.08 : x
  2. Step 2: Convert to fraction form
    126,586/189,920.60 = 51,769.08/x
  3. Step 3: Cross multiply
    126,586x = 189,920.60 × 51,769.08
  4. Step 4: Simplify right side
    126,586x = 9,832,014,735.05
  5. Step 5: Solve for x
    x = 9,832,014,735.05/126,586
  6. Step 6: Final answer
    x = 77,670.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.