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Finding the Fourth Proportional to 122,578.60, 183,770.70 and 67,174.60

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Solution

The fourth proportional to 122,578.60, 183,770.70 and 67,174.60 is: 100,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,578.60 : 183,770.70 = 67,174.60 : x
  2. Step 2: Convert to fraction form
    122,578.60/183,770.70 = 67,174.60/x
  3. Step 3: Cross multiply
    122,578.60x = 183,770.70 × 67,174.60
  4. Step 4: Simplify right side
    122,578.60x = 12,344,723,264.22
  5. Step 5: Solve for x
    x = 12,344,723,264.22/122,578.60
  6. Step 6: Final answer
    x = 100,708.63

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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.