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Finding the Fourth Proportional to 242,137.50, 362,965.24 and 115,629.85

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Solution

The fourth proportional to 242,137.50, 362,965.24 and 115,629.85 is: 173,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,137.50 : 362,965.24 = 115,629.85 : x
  2. Step 2: Convert to fraction form
    242,137.50/362,965.24 = 115,629.85/x
  3. Step 3: Cross multiply
    242,137.50x = 362,965.24 × 115,629.85
  4. Step 4: Simplify right side
    242,137.50x = 41,969,616,256.41
  5. Step 5: Solve for x
    x = 41,969,616,256.41/242,137.50
  6. Step 6: Final answer
    x = 173,329.68

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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.