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Finding the Fourth Proportional to 102,867.42, 154,195.53 and 50,212.14

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Solution

The fourth proportional to 102,867.42, 154,195.53 and 50,212.14 is: 75,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,867.42 : 154,195.53 = 50,212.14 : x
  2. Step 2: Convert to fraction form
    102,867.42/154,195.53 = 50,212.14/x
  3. Step 3: Cross multiply
    102,867.42x = 154,195.53 × 50,212.14
  4. Step 4: Simplify right side
    102,867.42x = 7,742,487,539.73
  5. Step 5: Solve for x
    x = 7,742,487,539.73/102,867.42
  6. Step 6: Final answer
    x = 75,266.66

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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.