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Finding the Fourth Proportional to 123,205.70, 184,808.55 and 110,739.80

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Solution

The fourth proportional to 123,205.70, 184,808.55 and 110,739.80 is: 166,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,205.70 : 184,808.55 = 110,739.80 : x
  2. Step 2: Convert to fraction form
    123,205.70/184,808.55 = 110,739.80/x
  3. Step 3: Cross multiply
    123,205.70x = 184,808.55 × 110,739.80
  4. Step 4: Simplify right side
    123,205.70x = 20,465,661,865.29
  5. Step 5: Solve for x
    x = 20,465,661,865.29/123,205.70
  6. Step 6: Final answer
    x = 166,109.70

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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.