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Finding the Fourth Proportional to 122,930.70, 183,958.65 and 85,314.30

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Solution

The fourth proportional to 122,930.70, 183,958.65 and 85,314.30 is: 127,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,930.70 : 183,958.65 = 85,314.30 : x
  2. Step 2: Convert to fraction form
    122,930.70/183,958.65 = 85,314.30/x
  3. Step 3: Cross multiply
    122,930.70x = 183,958.65 × 85,314.30
  4. Step 4: Simplify right side
    122,930.70x = 15,694,303,453.70
  5. Step 5: Solve for x
    x = 15,694,303,453.70/122,930.70
  6. Step 6: Final answer
    x = 127,667.89

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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.