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Finding the Fourth Proportional to 122,034.63, 182,983.41 and 83,609.50

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Solution

The fourth proportional to 122,034.63, 182,983.41 and 83,609.50 is: 125,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,034.63 : 182,983.41 = 83,609.50 : x
  2. Step 2: Convert to fraction form
    122,034.63/182,983.41 = 83,609.50/x
  3. Step 3: Cross multiply
    122,034.63x = 182,983.41 × 83,609.50
  4. Step 4: Simplify right side
    122,034.63x = 15,299,150,503.48
  5. Step 5: Solve for x
    x = 15,299,150,503.48/122,034.63
  6. Step 6: Final answer
    x = 125,367.29

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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.