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Finding the Fourth Proportional to 274,871.64, 379,314.96 and 160,175.64

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Solution

The fourth proportional to 274,871.64, 379,314.96 and 160,175.64 is: 221,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,871.64 : 379,314.96 = 160,175.64 : x
  2. Step 2: Convert to fraction form
    274,871.64/379,314.96 = 160,175.64/x
  3. Step 3: Cross multiply
    274,871.64x = 379,314.96 × 160,175.64
  4. Step 4: Simplify right side
    274,871.64x = 60,757,016,479.57
  5. Step 5: Solve for x
    x = 60,757,016,479.57/274,871.64
  6. Step 6: Final answer
    x = 221,037.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.