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Finding the Fourth Proportional to 120,214.09, 180,337.54 and 50,077

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Solution

The fourth proportional to 120,214.09, 180,337.54 and 50,077 is: 75,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,214.09 : 180,337.54 = 50,077 : x
  2. Step 2: Convert to fraction form
    120,214.09/180,337.54 = 50,077/x
  3. Step 3: Cross multiply
    120,214.09x = 180,337.54 × 50,077
  4. Step 4: Simplify right side
    120,214.09x = 9,030,762,990.58
  5. Step 5: Solve for x
    x = 9,030,762,990.58/120,214.09
  6. Step 6: Final answer
    x = 75,122.33

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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.