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Finding the Fourth Proportional to 184,732.70, 254,917.05 and 120,959.78

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Solution

The fourth proportional to 184,732.70, 254,917.05 and 120,959.78 is: 166,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,732.70 : 254,917.05 = 120,959.78 : x
  2. Step 2: Convert to fraction form
    184,732.70/254,917.05 = 120,959.78/x
  3. Step 3: Cross multiply
    184,732.70x = 254,917.05 × 120,959.78
  4. Step 4: Simplify right side
    184,732.70x = 30,834,710,286.25
  5. Step 5: Solve for x
    x = 30,834,710,286.25/184,732.70
  6. Step 6: Final answer
    x = 166,915.28

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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.