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Finding the Fourth Proportional to 224,100, 309,277.44 and 123,517.44

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Solution

The fourth proportional to 224,100, 309,277.44 and 123,517.44 is: 170,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,100 : 309,277.44 = 123,517.44 : x
  2. Step 2: Convert to fraction form
    224,100/309,277.44 = 123,517.44/x
  3. Step 3: Cross multiply
    224,100x = 309,277.44 × 123,517.44
  4. Step 4: Simplify right side
    224,100x = 38,201,157,638.55
  5. Step 5: Solve for x
    x = 38,201,157,638.55/224,100
  6. Step 6: Final answer
    x = 170,464.78

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1.5x scale

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.