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Finding the Fourth Proportional to 135,002.70, 202,212.45 and 111,674.70

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Solution

The fourth proportional to 135,002.70, 202,212.45 and 111,674.70 is: 167,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,002.70 : 202,212.45 = 111,674.70 : x
  2. Step 2: Convert to fraction form
    135,002.70/202,212.45 = 111,674.70/x
  3. Step 3: Cross multiply
    135,002.70x = 202,212.45 × 111,674.70
  4. Step 4: Simplify right side
    135,002.70x = 22,582,014,690.02
  5. Step 5: Solve for x
    x = 22,582,014,690.02/135,002.70
  6. Step 6: Final answer
    x = 167,270.84

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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.