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Finding the Fourth Proportional to 120,262.14, 180,364.05 and 50,103.18

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Solution

The fourth proportional to 120,262.14, 180,364.05 and 50,103.18 is: 75,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,262.14 : 180,364.05 = 50,103.18 : x
  2. Step 2: Convert to fraction form
    120,262.14/180,364.05 = 50,103.18/x
  3. Step 3: Cross multiply
    120,262.14x = 180,364.05 × 50,103.18
  4. Step 4: Simplify right side
    120,262.14x = 9,036,812,462.68
  5. Step 5: Solve for x
    x = 9,036,812,462.68/120,262.14
  6. Step 6: Final answer
    x = 75,142.62

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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.