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Finding the Fourth Proportional to 133,535.44, 184,276.20 and 76,943.44

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Solution

The fourth proportional to 133,535.44, 184,276.20 and 76,943.44 is: 106,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,535.44 : 184,276.20 = 76,943.44 : x
  2. Step 2: Convert to fraction form
    133,535.44/184,276.20 = 76,943.44/x
  3. Step 3: Cross multiply
    133,535.44x = 184,276.20 × 76,943.44
  4. Step 4: Simplify right side
    133,535.44x = 14,178,844,738.13
  5. Step 5: Solve for x
    x = 14,178,844,738.13/133,535.44
  6. Step 6: Final answer
    x = 106,180.39

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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.