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Finding the Fourth Proportional to 277,491.62, 382,938.41 and 150,167.22

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Solution

The fourth proportional to 277,491.62, 382,938.41 and 150,167.22 is: 207,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,491.62 : 382,938.41 = 150,167.22 : x
  2. Step 2: Convert to fraction form
    277,491.62/382,938.41 = 150,167.22/x
  3. Step 3: Cross multiply
    277,491.62x = 382,938.41 × 150,167.22
  4. Step 4: Simplify right side
    277,491.62x = 57,504,796,460.92
  5. Step 5: Solve for x
    x = 57,504,796,460.92/277,491.62
  6. Step 6: Final answer
    x = 207,230.75

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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.