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Finding the Fourth Proportional to 122,137.20, 183,205.80 and 52,023.60

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Solution

The fourth proportional to 122,137.20, 183,205.80 and 52,023.60 is: 78,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,137.20 : 183,205.80 = 52,023.60 : x
  2. Step 2: Convert to fraction form
    122,137.20/183,205.80 = 52,023.60/x
  3. Step 3: Cross multiply
    122,137.20x = 183,205.80 × 52,023.60
  4. Step 4: Simplify right side
    122,137.20x = 9,531,025,256.88
  5. Step 5: Solve for x
    x = 9,531,025,256.88/122,137.20
  6. Step 6: Final answer
    x = 78,035.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.