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Finding the Fourth Proportional to 143,138.70, 214,708.05 and 123,455.70

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Solution

The fourth proportional to 143,138.70, 214,708.05 and 123,455.70 is: 185,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,138.70 : 214,708.05 = 123,455.70 : x
  2. Step 2: Convert to fraction form
    143,138.70/214,708.05 = 123,455.70/x
  3. Step 3: Cross multiply
    143,138.70x = 214,708.05 × 123,455.70
  4. Step 4: Simplify right side
    143,138.70x = 26,506,932,608.39
  5. Step 5: Solve for x
    x = 26,506,932,608.39/143,138.70
  6. Step 6: Final answer
    x = 185,183.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.