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Finding the Fourth Proportional to 226,382.64, 339,340.32 and 76,573.68

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Solution

The fourth proportional to 226,382.64, 339,340.32 and 76,573.68 is: 114,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,382.64 : 339,340.32 = 76,573.68 : x
  2. Step 2: Convert to fraction form
    226,382.64/339,340.32 = 76,573.68/x
  3. Step 3: Cross multiply
    226,382.64x = 339,340.32 × 76,573.68
  4. Step 4: Simplify right side
    226,382.64x = 25,984,537,074.78
  5. Step 5: Solve for x
    x = 25,984,537,074.78/226,382.64
  6. Step 6: Final answer
    x = 114,781.49

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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.