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Finding the Fourth Proportional to 139,806.81, 209,723.87 and 55,548.19

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Solution

The fourth proportional to 139,806.81, 209,723.87 and 55,548.19 is: 83,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,806.81 : 209,723.87 = 55,548.19 : x
  2. Step 2: Convert to fraction form
    139,806.81/209,723.87 = 55,548.19/x
  3. Step 3: Cross multiply
    139,806.81x = 209,723.87 × 55,548.19
  4. Step 4: Simplify right side
    139,806.81x = 11,649,781,378.30
  5. Step 5: Solve for x
    x = 11,649,781,378.30/139,806.81
  6. Step 6: Final answer
    x = 83,327.71

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Why These Related Problems?

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