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Finding the Fourth Proportional to 277,153.88, 382,473.33 and 149,829.50

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Solution

The fourth proportional to 277,153.88, 382,473.33 and 149,829.50 is: 206,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,153.88 : 382,473.33 = 149,829.50 : x
  2. Step 2: Convert to fraction form
    277,153.88/382,473.33 = 149,829.50/x
  3. Step 3: Cross multiply
    277,153.88x = 382,473.33 × 149,829.50
  4. Step 4: Simplify right side
    277,153.88x = 57,305,787,797.24
  5. Step 5: Solve for x
    x = 57,305,787,797.24/277,153.88
  6. Step 6: Final answer
    x = 206,765.24

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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.