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Finding the Fourth Proportional to 184,843.80, 255,084.30 and 99,961.20

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Solution

The fourth proportional to 184,843.80, 255,084.30 and 99,961.20 is: 137,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,843.80 : 255,084.30 = 99,961.20 : x
  2. Step 2: Convert to fraction form
    184,843.80/255,084.30 = 99,961.20/x
  3. Step 3: Cross multiply
    184,843.80x = 255,084.30 × 99,961.20
  4. Step 4: Simplify right side
    184,843.80x = 25,498,532,729.16
  5. Step 5: Solve for x
    x = 25,498,532,729.16/184,843.80
  6. Step 6: Final answer
    x = 137,946.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.