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Finding the Fourth Proportional to 120,214.84, 180,338.66 and 50,077.75

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Solution

The fourth proportional to 120,214.84, 180,338.66 and 50,077.75 is: 75,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,214.84 : 180,338.66 = 50,077.75 : x
  2. Step 2: Convert to fraction form
    120,214.84/180,338.66 = 50,077.75/x
  3. Step 3: Cross multiply
    120,214.84x = 180,338.66 × 50,077.75
  4. Step 4: Simplify right side
    120,214.84x = 9,030,954,330.82
  5. Step 5: Solve for x
    x = 9,030,954,330.82/120,214.84
  6. Step 6: Final answer
    x = 75,123.46

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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.