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Finding the Fourth Proportional to 123,209.70, 184,814.55 and 110,743.80

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Solution

The fourth proportional to 123,209.70, 184,814.55 and 110,743.80 is: 166,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,209.70 : 184,814.55 = 110,743.80 : x
  2. Step 2: Convert to fraction form
    123,209.70/184,814.55 = 110,743.80/x
  3. Step 3: Cross multiply
    123,209.70x = 184,814.55 × 110,743.80
  4. Step 4: Simplify right side
    123,209.70x = 20,467,065,562.29
  5. Step 5: Solve for x
    x = 20,467,065,562.29/123,209.70
  6. Step 6: Final answer
    x = 166,115.70

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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.