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Finding the Fourth Proportional to 277,469.64, 382,909.11 and 150,145.23

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Solution

The fourth proportional to 277,469.64, 382,909.11 and 150,145.23 is: 207,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,469.64 : 382,909.11 = 150,145.23 : x
  2. Step 2: Convert to fraction form
    277,469.64/382,909.11 = 150,145.23/x
  3. Step 3: Cross multiply
    277,469.64x = 382,909.11 × 150,145.23
  4. Step 4: Simplify right side
    277,469.64x = 57,491,976,390.05
  5. Step 5: Solve for x
    x = 57,491,976,390.05/277,469.64
  6. Step 6: Final answer
    x = 207,200.96

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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.