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Finding the Fourth Proportional to 274,884.32, 379,274.64 and 160,093.28

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Solution

The fourth proportional to 274,884.32, 379,274.64 and 160,093.28 is: 220,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,884.32 : 379,274.64 = 160,093.28 : x
  2. Step 2: Convert to fraction form
    274,884.32/379,274.64 = 160,093.28/x
  3. Step 3: Cross multiply
    274,884.32x = 379,274.64 × 160,093.28
  4. Step 4: Simplify right side
    274,884.32x = 60,719,321,138.42
  5. Step 5: Solve for x
    x = 60,719,321,138.42/274,884.32
  6. Step 6: Final answer
    x = 220,890.45

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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.