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Finding the Fourth Proportional to 224,791.68, 337,074.24 and 74,979.84

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Solution

The fourth proportional to 224,791.68, 337,074.24 and 74,979.84 is: 112,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,791.68 : 337,074.24 = 74,979.84 : x
  2. Step 2: Convert to fraction form
    224,791.68/337,074.24 = 74,979.84/x
  3. Step 3: Cross multiply
    224,791.68x = 337,074.24 × 74,979.84
  4. Step 4: Simplify right side
    224,791.68x = 25,273,772,583.32
  5. Step 5: Solve for x
    x = 25,273,772,583.32/224,791.68
  6. Step 6: Final answer
    x = 112,431.98

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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.